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Finding the Fourth Proportional to 498,193.86, 687,522.72 and 283,364.88

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Solution

The fourth proportional to 498,193.86, 687,522.72 and 283,364.88 is: 391,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,193.86 : 687,522.72 = 283,364.88 : x
  2. Step 2: Convert to fraction form
    498,193.86/687,522.72 = 283,364.88/x
  3. Step 3: Cross multiply
    498,193.86x = 687,522.72 × 283,364.88
  4. Step 4: Simplify right side
    498,193.86x = 194,819,793,050.07
  5. Step 5: Solve for x
    x = 194,819,793,050.07/498,193.86
  6. Step 6: Final answer
    x = 391,052.18

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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.