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Finding the Fourth Proportional to 514,755.11, 771,046.40 and 413,002.26

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Solution

The fourth proportional to 514,755.11, 771,046.40 and 413,002.26 is: 618,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,755.11 : 771,046.40 = 413,002.26 : x
  2. Step 2: Convert to fraction form
    514,755.11/771,046.40 = 413,002.26/x
  3. Step 3: Cross multiply
    514,755.11x = 771,046.40 × 413,002.26
  4. Step 4: Simplify right side
    514,755.11x = 318,443,901,909.63
  5. Step 5: Solve for x
    x = 318,443,901,909.63/514,755.11
  6. Step 6: Final answer
    x = 618,631.85

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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.