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Finding the Fourth Proportional to 542,731.68, 748,104.60 and 427,823.06

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Solution

The fourth proportional to 542,731.68, 748,104.60 and 427,823.06 is: 589,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,731.68 : 748,104.60 = 427,823.06 : x
  2. Step 2: Convert to fraction form
    542,731.68/748,104.60 = 427,823.06/x
  3. Step 3: Cross multiply
    542,731.68x = 748,104.60 × 427,823.06
  4. Step 4: Simplify right side
    542,731.68x = 320,056,395,431.55
  5. Step 5: Solve for x
    x = 320,056,395,431.55/542,731.68
  6. Step 6: Final answer
    x = 589,713.86

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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.