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Finding the Fourth Proportional to 498,187.36, 687,513.72 and 283,358.35

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Solution

The fourth proportional to 498,187.36, 687,513.72 and 283,358.35 is: 391,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,187.36 : 687,513.72 = 283,358.35 : x
  2. Step 2: Convert to fraction form
    498,187.36/687,513.72 = 283,358.35/x
  3. Step 3: Cross multiply
    498,187.36x = 687,513.72 × 283,358.35
  4. Step 4: Simplify right side
    498,187.36x = 194,812,753,301.56
  5. Step 5: Solve for x
    x = 194,812,753,301.56/498,187.36
  6. Step 6: Final answer
    x = 391,043.15

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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.