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Finding the Fourth Proportional to 515,569, 773,168.95 and 178,519.16

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Solution

The fourth proportional to 515,569, 773,168.95 and 178,519.16 is: 267,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,569 : 773,168.95 = 178,519.16 : x
  2. Step 2: Convert to fraction form
    515,569/773,168.95 = 178,519.16/x
  3. Step 3: Cross multiply
    515,569x = 773,168.95 × 178,519.16
  4. Step 4: Simplify right side
    515,569x = 138,025,471,492.08
  5. Step 5: Solve for x
    x = 138,025,471,492.08/515,569
  6. Step 6: Final answer
    x = 267,714.84

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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.