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Finding the Fourth Proportional to 284,224.32, 392,229.63 and 156,900

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Solution

The fourth proportional to 284,224.32, 392,229.63 and 156,900 is: 216,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224.32 : 392,229.63 = 156,900 : x
  2. Step 2: Convert to fraction form
    284,224.32/392,229.63 = 156,900/x
  3. Step 3: Cross multiply
    284,224.32x = 392,229.63 × 156,900
  4. Step 4: Simplify right side
    284,224.32x = 61,540,828,947
  5. Step 5: Solve for x
    x = 61,540,828,947/284,224.32
  6. Step 6: Final answer
    x = 216,522.04

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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.