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Finding the Fourth Proportional to 285,502.97, 428,221.32 and 75,157.31

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Solution

The fourth proportional to 285,502.97, 428,221.32 and 75,157.31 is: 112,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,502.97 : 428,221.32 = 75,157.31 : x
  2. Step 2: Convert to fraction form
    285,502.97/428,221.32 = 75,157.31/x
  3. Step 3: Cross multiply
    285,502.97x = 428,221.32 × 75,157.31
  4. Step 4: Simplify right side
    285,502.97x = 32,183,960,354.74
  5. Step 5: Solve for x
    x = 32,183,960,354.74/285,502.97
  6. Step 6: Final answer
    x = 112,727.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.