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Finding the Fourth Proportional to 284,758.76, 392,964.90 and 157,439.72

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Solution

The fourth proportional to 284,758.76, 392,964.90 and 157,439.72 is: 217,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,758.76 : 392,964.90 = 157,439.72 : x
  2. Step 2: Convert to fraction form
    284,758.76/392,964.90 = 157,439.72/x
  3. Step 3: Cross multiply
    284,758.76x = 392,964.90 × 157,439.72
  4. Step 4: Simplify right side
    284,758.76x = 61,868,283,825.83
  5. Step 5: Solve for x
    x = 61,868,283,825.83/284,758.76
  6. Step 6: Final answer
    x = 217,265.60

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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.