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Finding the Fourth Proportional to 492,078.10, 738,117.15 and 314,785.30

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Solution

The fourth proportional to 492,078.10, 738,117.15 and 314,785.30 is: 472,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078.10 : 738,117.15 = 314,785.30 : x
  2. Step 2: Convert to fraction form
    492,078.10/738,117.15 = 314,785.30/x
  3. Step 3: Cross multiply
    492,078.10x = 738,117.15 × 314,785.30
  4. Step 4: Simplify right side
    492,078.10x = 232,348,428,497.90
  5. Step 5: Solve for x
    x = 232,348,428,497.90/492,078.10
  6. Step 6: Final answer
    x = 472,177.95

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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.