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Finding the Fourth Proportional to 492,098.80, 738,493.80 and 315,036.40

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Solution

The fourth proportional to 492,098.80, 738,493.80 and 315,036.40 is: 472,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.80 : 738,493.80 = 315,036.40 : x
  2. Step 2: Convert to fraction form
    492,098.80/738,493.80 = 315,036.40/x
  3. Step 3: Cross multiply
    492,098.80x = 738,493.80 × 315,036.40
  4. Step 4: Simplify right side
    492,098.80x = 232,652,428,174.32
  5. Step 5: Solve for x
    x = 232,652,428,174.32/492,098.80
  6. Step 6: Final answer
    x = 472,775.85

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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.