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Finding the Fourth Proportional to 488,446.97, 731,784.71 and 477,818.15

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Solution

The fourth proportional to 488,446.97, 731,784.71 and 477,818.15 is: 715,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,446.97 : 731,784.71 = 477,818.15 : x
  2. Step 2: Convert to fraction form
    488,446.97/731,784.71 = 477,818.15/x
  3. Step 3: Cross multiply
    488,446.97x = 731,784.71 × 477,818.15
  4. Step 4: Simplify right side
    488,446.97x = 349,660,019,354.49
  5. Step 5: Solve for x
    x = 349,660,019,354.49/488,446.97
  6. Step 6: Final answer
    x = 715,860.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.