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Finding the Fourth Proportional to 653,233.64, 979,469.10 and 253,407.22

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Solution

The fourth proportional to 653,233.64, 979,469.10 and 253,407.22 is: 379,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,233.64 : 979,469.10 = 253,407.22 : x
  2. Step 2: Convert to fraction form
    653,233.64/979,469.10 = 253,407.22/x
  3. Step 3: Cross multiply
    653,233.64x = 979,469.10 × 253,407.22
  4. Step 4: Simplify right side
    653,233.64x = 248,204,541,706.90
  5. Step 5: Solve for x
    x = 248,204,541,706.90/653,233.64
  6. Step 6: Final answer
    x = 379,962.89

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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.