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Finding the Fourth Proportional to 542,722.68, 748,920 and 300,982.56

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Solution

The fourth proportional to 542,722.68, 748,920 and 300,982.56 is: 415,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,722.68 : 748,920 = 300,982.56 : x
  2. Step 2: Convert to fraction form
    542,722.68/748,920 = 300,982.56/x
  3. Step 3: Cross multiply
    542,722.68x = 748,920 × 300,982.56
  4. Step 4: Simplify right side
    542,722.68x = 225,411,858,835.20
  5. Step 5: Solve for x
    x = 225,411,858,835.20/542,722.68
  6. Step 6: Final answer
    x = 415,335.25

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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.