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Finding the Fourth Proportional to 305,909.10, 458,863.65 and 137,510.10

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Solution

The fourth proportional to 305,909.10, 458,863.65 and 137,510.10 is: 206,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.10 : 458,863.65 = 137,510.10 : x
  2. Step 2: Convert to fraction form
    305,909.10/458,863.65 = 137,510.10/x
  3. Step 3: Cross multiply
    305,909.10x = 458,863.65 × 137,510.10
  4. Step 4: Simplify right side
    305,909.10x = 63,098,386,397.87
  5. Step 5: Solve for x
    x = 63,098,386,397.87/305,909.10
  6. Step 6: Final answer
    x = 206,265.15

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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.