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Finding the Fourth Proportional to 498,181.86, 687,506.16 and 283,352.88

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Solution

The fourth proportional to 498,181.86, 687,506.16 and 283,352.88 is: 391,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,181.86 : 687,506.16 = 283,352.88 : x
  2. Step 2: Convert to fraction form
    498,181.86/687,506.16 = 283,352.88/x
  3. Step 3: Cross multiply
    498,181.86x = 687,506.16 × 283,352.88
  4. Step 4: Simplify right side
    498,181.86x = 194,806,850,453.74
  5. Step 5: Solve for x
    x = 194,806,850,453.74/498,181.86
  6. Step 6: Final answer
    x = 391,035.62

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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.