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Finding the Fourth Proportional to 284,759.76, 392,966.28 and 157,440.72

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Solution

The fourth proportional to 284,759.76, 392,966.28 and 157,440.72 is: 217,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,759.76 : 392,966.28 = 157,440.72 : x
  2. Step 2: Convert to fraction form
    284,759.76/392,966.28 = 157,440.72/x
  3. Step 3: Cross multiply
    284,759.76x = 392,966.28 × 157,440.72
  4. Step 4: Simplify right side
    284,759.76x = 61,868,894,058.92
  5. Step 5: Solve for x
    x = 61,868,894,058.92/284,759.76
  6. Step 6: Final answer
    x = 217,266.98

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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.