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Finding the Fourth Proportional to 381,866.02, 572,328.60 and 157,086.16

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Solution

The fourth proportional to 381,866.02, 572,328.60 and 157,086.16 is: 235,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,866.02 : 572,328.60 = 157,086.16 : x
  2. Step 2: Convert to fraction form
    381,866.02/572,328.60 = 157,086.16/x
  3. Step 3: Cross multiply
    381,866.02x = 572,328.60 × 157,086.16
  4. Step 4: Simplify right side
    381,866.02x = 89,904,902,032.18
  5. Step 5: Solve for x
    x = 89,904,902,032.18/381,866.02
  6. Step 6: Final answer
    x = 235,435.72

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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.