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Finding the Fourth Proportional to 498,047.40, 687,337.92 and 283,207.50

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Solution

The fourth proportional to 498,047.40, 687,337.92 and 283,207.50 is: 390,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,047.40 : 687,337.92 = 283,207.50 : x
  2. Step 2: Convert to fraction form
    498,047.40/687,337.92 = 283,207.50/x
  3. Step 3: Cross multiply
    498,047.40x = 687,337.92 × 283,207.50
  4. Step 4: Simplify right side
    498,047.40x = 194,659,253,978.40
  5. Step 5: Solve for x
    x = 194,659,253,978.40/498,047.40
  6. Step 6: Final answer
    x = 390,844.84

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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.