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Finding the Fourth Proportional to 284,613.12, 392,731.92 and 157,271.28

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Solution

The fourth proportional to 284,613.12, 392,731.92 and 157,271.28 is: 217,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,613.12 : 392,731.92 = 157,271.28 : x
  2. Step 2: Convert to fraction form
    284,613.12/392,731.92 = 157,271.28/x
  3. Step 3: Cross multiply
    284,613.12x = 392,731.92 × 157,271.28
  4. Step 4: Simplify right side
    284,613.12x = 61,765,451,755.26
  5. Step 5: Solve for x
    x = 61,765,451,755.26/284,613.12
  6. Step 6: Final answer
    x = 217,015.48

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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.