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Finding the Fourth Proportional to 391,228.48, 539,908.16 and 221,458.96

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Solution

The fourth proportional to 391,228.48, 539,908.16 and 221,458.96 is: 305,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,228.48 : 539,908.16 = 221,458.96 : x
  2. Step 2: Convert to fraction form
    391,228.48/539,908.16 = 221,458.96/x
  3. Step 3: Cross multiply
    391,228.48x = 539,908.16 × 221,458.96
  4. Step 4: Simplify right side
    391,228.48x = 119,567,499,609.11
  5. Step 5: Solve for x
    x = 119,567,499,609.11/391,228.48
  6. Step 6: Final answer
    x = 305,620.64

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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.