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Finding the Fourth Proportional to 284,728.40, 392,905.46 and 157,393.97

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Solution

The fourth proportional to 284,728.40, 392,905.46 and 157,393.97 is: 217,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,728.40 : 392,905.46 = 157,393.97 : x
  2. Step 2: Convert to fraction form
    284,728.40/392,905.46 = 157,393.97/x
  3. Step 3: Cross multiply
    284,728.40x = 392,905.46 × 157,393.97
  4. Step 4: Simplify right side
    284,728.40x = 61,840,949,397.11
  5. Step 5: Solve for x
    x = 61,840,949,397.11/284,728.40
  6. Step 6: Final answer
    x = 217,192.77

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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.