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Finding the Fourth Proportional to 498,497.72, 687,902.86 and 283,617.72

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Solution

The fourth proportional to 498,497.72, 687,902.86 and 283,617.72 is: 391,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,497.72 : 687,902.86 = 283,617.72 : x
  2. Step 2: Convert to fraction form
    498,497.72/687,902.86 = 283,617.72/x
  3. Step 3: Cross multiply
    498,497.72x = 687,902.86 × 283,617.72
  4. Step 4: Simplify right side
    498,497.72x = 195,101,440,734.68
  5. Step 5: Solve for x
    x = 195,101,440,734.68/498,497.72
  6. Step 6: Final answer
    x = 391,378.80

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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.