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Finding the Fourth Proportional to 342,921.60, 514,714.40 and 165,553.07

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Solution

The fourth proportional to 342,921.60, 514,714.40 and 165,553.07 is: 248,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,921.60 : 514,714.40 = 165,553.07 : x
  2. Step 2: Convert to fraction form
    342,921.60/514,714.40 = 165,553.07/x
  3. Step 3: Cross multiply
    342,921.60x = 514,714.40 × 165,553.07
  4. Step 4: Simplify right side
    342,921.60x = 85,212,546,312.69
  5. Step 5: Solve for x
    x = 85,212,546,312.69/342,921.60
  6. Step 6: Final answer
    x = 248,489.88

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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.