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Finding the Fourth Proportional to 542,470.80, 748,654.07 and 300,829.17

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Solution

The fourth proportional to 542,470.80, 748,654.07 and 300,829.17 is: 415,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,470.80 : 748,654.07 = 300,829.17 : x
  2. Step 2: Convert to fraction form
    542,470.80/748,654.07 = 300,829.17/x
  3. Step 3: Cross multiply
    542,470.80x = 748,654.07 × 300,829.17
  4. Step 4: Simplify right side
    542,470.80x = 225,216,980,991.08
  5. Step 5: Solve for x
    x = 225,216,980,991.08/542,470.80
  6. Step 6: Final answer
    x = 415,168.86

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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.