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Finding the Fourth Proportional to 491,456.76, 677,950.20 and 338,228.93

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Solution

The fourth proportional to 491,456.76, 677,950.20 and 338,228.93 is: 466,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,456.76 : 677,950.20 = 338,228.93 : x
  2. Step 2: Convert to fraction form
    491,456.76/677,950.20 = 338,228.93/x
  3. Step 3: Cross multiply
    491,456.76x = 677,950.20 × 338,228.93
  4. Step 4: Simplify right side
    491,456.76x = 229,302,370,739.29
  5. Step 5: Solve for x
    x = 229,302,370,739.29/491,456.76
  6. Step 6: Final answer
    x = 466,576.90

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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.