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Finding the Fourth Proportional to 492,764.61, 738,113.02 and 312,757.43

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Solution

The fourth proportional to 492,764.61, 738,113.02 and 312,757.43 is: 468,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,764.61 : 738,113.02 = 312,757.43 : x
  2. Step 2: Convert to fraction form
    492,764.61/738,113.02 = 312,757.43/x
  3. Step 3: Cross multiply
    492,764.61x = 738,113.02 × 312,757.43
  4. Step 4: Simplify right side
    492,764.61x = 230,850,332,248.13
  5. Step 5: Solve for x
    x = 230,850,332,248.13/492,764.61
  6. Step 6: Final answer
    x = 468,479.93

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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.