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Finding the Fourth Proportional to 498,496.72, 687,901.48 and 283,616.72

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Solution

The fourth proportional to 498,496.72, 687,901.48 and 283,616.72 is: 391,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,496.72 : 687,901.48 = 283,616.72 : x
  2. Step 2: Convert to fraction form
    498,496.72/687,901.48 = 283,616.72/x
  3. Step 3: Cross multiply
    498,496.72x = 687,901.48 × 283,616.72
  4. Step 4: Simplify right side
    498,496.72x = 195,100,361,440.75
  5. Step 5: Solve for x
    x = 195,100,361,440.75/498,496.72
  6. Step 6: Final answer
    x = 391,377.42

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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.