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Finding the Fourth Proportional to 498,607, 687,728.48 and 337,391.08

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Solution

The fourth proportional to 498,607, 687,728.48 and 337,391.08 is: 465,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,607 : 687,728.48 = 337,391.08 : x
  2. Step 2: Convert to fraction form
    498,607/687,728.48 = 337,391.08/x
  3. Step 3: Cross multiply
    498,607x = 687,728.48 × 337,391.08
  4. Step 4: Simplify right side
    498,607x = 232,033,454,613.96
  5. Step 5: Solve for x
    x = 232,033,454,613.96/498,607
  6. Step 6: Final answer
    x = 465,363.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.