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Finding the Fourth Proportional to 542,752.65, 748,968.12 and 301,017.87

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Solution

The fourth proportional to 542,752.65, 748,968.12 and 301,017.87 is: 415,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,752.65 : 748,968.12 = 301,017.87 : x
  2. Step 2: Convert to fraction form
    542,752.65/748,968.12 = 301,017.87/x
  3. Step 3: Cross multiply
    542,752.65x = 748,968.12 × 301,017.87
  4. Step 4: Simplify right side
    542,752.65x = 225,452,788,180.30
  5. Step 5: Solve for x
    x = 225,452,788,180.30/542,752.65
  6. Step 6: Final answer
    x = 415,387.72

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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.