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Finding the Fourth Proportional to 542,871.12, 749,128.32 and 327,884.16

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Solution

The fourth proportional to 542,871.12, 749,128.32 and 327,884.16 is: 452,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,871.12 : 749,128.32 = 327,884.16 : x
  2. Step 2: Convert to fraction form
    542,871.12/749,128.32 = 327,884.16/x
  3. Step 3: Cross multiply
    542,871.12x = 749,128.32 × 327,884.16
  4. Step 4: Simplify right side
    542,871.12x = 245,627,309,935.41
  5. Step 5: Solve for x
    x = 245,627,309,935.41/542,871.12
  6. Step 6: Final answer
    x = 452,459.71

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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.