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Finding the Fourth Proportional to 381,600.12, 572,584.50 and 157,127.16

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Solution

The fourth proportional to 381,600.12, 572,584.50 and 157,127.16 is: 235,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,600.12 : 572,584.50 = 157,127.16 : x
  2. Step 2: Convert to fraction form
    381,600.12/572,584.50 = 157,127.16/x
  3. Step 3: Cross multiply
    381,600.12x = 572,584.50 × 157,127.16
  4. Step 4: Simplify right side
    381,600.12x = 89,968,576,345.02
  5. Step 5: Solve for x
    x = 89,968,576,345.02/381,600.12
  6. Step 6: Final answer
    x = 235,766.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.