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Finding the Fourth Proportional to 284,757.44, 392,945.76 and 157,431.84

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Solution

The fourth proportional to 284,757.44, 392,945.76 and 157,431.84 is: 217,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,757.44 : 392,945.76 = 157,431.84 : x
  2. Step 2: Convert to fraction form
    284,757.44/392,945.76 = 157,431.84/x
  3. Step 3: Cross multiply
    284,757.44x = 392,945.76 × 157,431.84
  4. Step 4: Simplify right side
    284,757.44x = 61,862,174,017.00
  5. Step 5: Solve for x
    x = 61,862,174,017.00/284,757.44
  6. Step 6: Final answer
    x = 217,245.15

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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.