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Finding the Fourth Proportional to 542,138.76, 748,167.84 and 300,398.58

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Solution

The fourth proportional to 542,138.76, 748,167.84 and 300,398.58 is: 414,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,138.76 : 748,167.84 = 300,398.58 : x
  2. Step 2: Convert to fraction form
    542,138.76/748,167.84 = 300,398.58/x
  3. Step 3: Cross multiply
    542,138.76x = 748,167.84 × 300,398.58
  4. Step 4: Simplify right side
    542,138.76x = 224,748,556,737.67
  5. Step 5: Solve for x
    x = 224,748,556,737.67/542,138.76
  6. Step 6: Final answer
    x = 414,559.10

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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.