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Finding the Fourth Proportional to 438,209.59, 657,545.81 and 310,948.20

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Solution

The fourth proportional to 438,209.59, 657,545.81 and 310,948.20 is: 466,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,209.59 : 657,545.81 = 310,948.20 : x
  2. Step 2: Convert to fraction form
    438,209.59/657,545.81 = 310,948.20/x
  3. Step 3: Cross multiply
    438,209.59x = 657,545.81 × 310,948.20
  4. Step 4: Simplify right side
    438,209.59x = 204,462,687,206.19
  5. Step 5: Solve for x
    x = 204,462,687,206.19/438,209.59
  6. Step 6: Final answer
    x = 466,586.52

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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.