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Finding the Fourth Proportional to 492,731.40, 739,388.70 and 324,737.40

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Solution

The fourth proportional to 492,731.40, 739,388.70 and 324,737.40 is: 487,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,731.40 : 739,388.70 = 324,737.40 : x
  2. Step 2: Convert to fraction form
    492,731.40/739,388.70 = 324,737.40/x
  3. Step 3: Cross multiply
    492,731.40x = 739,388.70 × 324,737.40
  4. Step 4: Simplify right side
    492,731.40x = 240,107,164,027.38
  5. Step 5: Solve for x
    x = 240,107,164,027.38/492,731.40
  6. Step 6: Final answer
    x = 487,298.28

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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.