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Finding the Fourth Proportional to 542,020, 747,666 and 327,032.80

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Solution

The fourth proportional to 542,020, 747,666 and 327,032.80 is: 451,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,020 : 747,666 = 327,032.80 : x
  2. Step 2: Convert to fraction form
    542,020/747,666 = 327,032.80/x
  3. Step 3: Cross multiply
    542,020x = 747,666 × 327,032.80
  4. Step 4: Simplify right side
    542,020x = 244,511,305,444.80
  5. Step 5: Solve for x
    x = 244,511,305,444.80/542,020
  6. Step 6: Final answer
    x = 451,111.22

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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.