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Finding the Fourth Proportional to 497,318.54, 745,982.98 and 398,109.38

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Solution

The fourth proportional to 497,318.54, 745,982.98 and 398,109.38 is: 597,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,318.54 : 745,982.98 = 398,109.38 : x
  2. Step 2: Convert to fraction form
    497,318.54/745,982.98 = 398,109.38/x
  3. Step 3: Cross multiply
    497,318.54x = 745,982.98 × 398,109.38
  4. Step 4: Simplify right side
    497,318.54x = 296,982,821,658.35
  5. Step 5: Solve for x
    x = 296,982,821,658.35/497,318.54
  6. Step 6: Final answer
    x = 597,168.21

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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.