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Finding the Fourth Proportional to 512,689.60, 769,034.40 and 138,712.60

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Solution

The fourth proportional to 512,689.60, 769,034.40 and 138,712.60 is: 208,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,689.60 : 769,034.40 = 138,712.60 : x
  2. Step 2: Convert to fraction form
    512,689.60/769,034.40 = 138,712.60/x
  3. Step 3: Cross multiply
    512,689.60x = 769,034.40 × 138,712.60
  4. Step 4: Simplify right side
    512,689.60x = 106,674,761,113.44
  5. Step 5: Solve for x
    x = 106,674,761,113.44/512,689.60
  6. Step 6: Final answer
    x = 208,068.90

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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.