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Finding the Fourth Proportional to 498,165.61, 687,483.72 and 283,336.60

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Solution

The fourth proportional to 498,165.61, 687,483.72 and 283,336.60 is: 391,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,165.61 : 687,483.72 = 283,336.60 : x
  2. Step 2: Convert to fraction form
    498,165.61/687,483.72 = 283,336.60/x
  3. Step 3: Cross multiply
    498,165.61x = 687,483.72 × 283,336.60
  4. Step 4: Simplify right side
    498,165.61x = 194,789,299,780.15
  5. Step 5: Solve for x
    x = 194,789,299,780.15/498,165.61
  6. Step 6: Final answer
    x = 391,013.14

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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.