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Finding the Fourth Proportional to 542,749.56, 748,504.38 and 338,819.28

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Solution

The fourth proportional to 542,749.56, 748,504.38 and 338,819.28 is: 467,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,749.56 : 748,504.38 = 338,819.28 : x
  2. Step 2: Convert to fraction form
    542,749.56/748,504.38 = 338,819.28/x
  3. Step 3: Cross multiply
    542,749.56x = 748,504.38 × 338,819.28
  4. Step 4: Simplify right side
    542,749.56x = 253,607,715,108.45
  5. Step 5: Solve for x
    x = 253,607,715,108.45/542,749.56
  6. Step 6: Final answer
    x = 467,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.