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Finding the Fourth Proportional to 431,705.29, 647,508.12 and 116,137.39

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Solution

The fourth proportional to 431,705.29, 647,508.12 and 116,137.39 is: 174,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,705.29 : 647,508.12 = 116,137.39 : x
  2. Step 2: Convert to fraction form
    431,705.29/647,508.12 = 116,137.39/x
  3. Step 3: Cross multiply
    431,705.29x = 647,508.12 × 116,137.39
  4. Step 4: Simplify right side
    431,705.29x = 75,199,903,060.61
  5. Step 5: Solve for x
    x = 75,199,903,060.61/431,705.29
  6. Step 6: Final answer
    x = 174,192.68

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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.