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Finding the Fourth Proportional to 491,454.76, 677,947.44 and 338,226.93

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Solution

The fourth proportional to 491,454.76, 677,947.44 and 338,226.93 is: 466,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,454.76 : 677,947.44 = 338,226.93 : x
  2. Step 2: Convert to fraction form
    491,454.76/677,947.44 = 338,226.93/x
  3. Step 3: Cross multiply
    491,454.76x = 677,947.44 × 338,226.93
  4. Step 4: Simplify right side
    491,454.76x = 229,300,081,332.56
  5. Step 5: Solve for x
    x = 229,300,081,332.56/491,454.76
  6. Step 6: Final answer
    x = 466,574.14

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.