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Finding the Fourth Proportional to 542,046.57, 747,999.06 and 297,029.88

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Solution

The fourth proportional to 542,046.57, 747,999.06 and 297,029.88 is: 409,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,046.57 : 747,999.06 = 297,029.88 : x
  2. Step 2: Convert to fraction form
    542,046.57/747,999.06 = 297,029.88/x
  3. Step 3: Cross multiply
    542,046.57x = 747,999.06 × 297,029.88
  4. Step 4: Simplify right side
    542,046.57x = 222,178,071,031.91
  5. Step 5: Solve for x
    x = 222,178,071,031.91/542,046.57
  6. Step 6: Final answer
    x = 409,887.42

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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.