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Finding the Fourth Proportional to 610,714.90, 916,072.35 and 512,737.30

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Solution

The fourth proportional to 610,714.90, 916,072.35 and 512,737.30 is: 769,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,714.90 : 916,072.35 = 512,737.30 : x
  2. Step 2: Convert to fraction form
    610,714.90/916,072.35 = 512,737.30/x
  3. Step 3: Cross multiply
    610,714.90x = 916,072.35 × 512,737.30
  4. Step 4: Simplify right side
    610,714.90x = 469,704,463,343.66
  5. Step 5: Solve for x
    x = 469,704,463,343.66/610,714.90
  6. Step 6: Final answer
    x = 769,105.95

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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.