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Finding the Fourth Proportional to 535,098.71, 738,408 and 305,610.87

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Solution

The fourth proportional to 535,098.71, 738,408 and 305,610.87 is: 421,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098.71 : 738,408 = 305,610.87 : x
  2. Step 2: Convert to fraction form
    535,098.71/738,408 = 305,610.87/x
  3. Step 3: Cross multiply
    535,098.71x = 738,408 × 305,610.87
  4. Step 4: Simplify right side
    535,098.71x = 225,665,511,294.96
  5. Step 5: Solve for x
    x = 225,665,511,294.96/535,098.71
  6. Step 6: Final answer
    x = 421,726.88

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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.