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Finding the Fourth Proportional to 529,770.85, 731,078.22 and 394,410.13

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Solution

The fourth proportional to 529,770.85, 731,078.22 and 394,410.13 is: 544,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,770.85 : 731,078.22 = 394,410.13 : x
  2. Step 2: Convert to fraction form
    529,770.85/731,078.22 = 394,410.13/x
  3. Step 3: Cross multiply
    529,770.85x = 731,078.22 × 394,410.13
  4. Step 4: Simplify right side
    529,770.85x = 288,344,655,441.71
  5. Step 5: Solve for x
    x = 288,344,655,441.71/529,770.85
  6. Step 6: Final answer
    x = 544,281.85

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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.