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Finding the Fourth Proportional to 542,737.93, 748,113.23 and 427,829.30

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Solution

The fourth proportional to 542,737.93, 748,113.23 and 427,829.30 is: 589,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,737.93 : 748,113.23 = 427,829.30 : x
  2. Step 2: Convert to fraction form
    542,737.93/748,113.23 = 427,829.30/x
  3. Step 3: Cross multiply
    542,737.93x = 748,113.23 × 427,829.30
  4. Step 4: Simplify right side
    542,737.93x = 320,064,759,511.64
  5. Step 5: Solve for x
    x = 320,064,759,511.64/542,737.93
  6. Step 6: Final answer
    x = 589,722.49

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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.