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Finding the Fourth Proportional to 642,508.60, 963,762.90 and 310,732.60

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Solution

The fourth proportional to 642,508.60, 963,762.90 and 310,732.60 is: 466,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,508.60 : 963,762.90 = 310,732.60 : x
  2. Step 2: Convert to fraction form
    642,508.60/963,762.90 = 310,732.60/x
  3. Step 3: Cross multiply
    642,508.60x = 963,762.90 × 310,732.60
  4. Step 4: Simplify right side
    642,508.60x = 299,472,551,700.54
  5. Step 5: Solve for x
    x = 299,472,551,700.54/642,508.60
  6. Step 6: Final answer
    x = 466,098.90

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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.