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Finding the Fourth Proportional to 284,357.72, 392,478 and 203,876.12

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Solution

The fourth proportional to 284,357.72, 392,478 and 203,876.12 is: 281,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,357.72 : 392,478 = 203,876.12 : x
  2. Step 2: Convert to fraction form
    284,357.72/392,478 = 203,876.12/x
  3. Step 3: Cross multiply
    284,357.72x = 392,478 × 203,876.12
  4. Step 4: Simplify right side
    284,357.72x = 80,016,891,825.36
  5. Step 5: Solve for x
    x = 80,016,891,825.36/284,357.72
  6. Step 6: Final answer
    x = 281,395.18

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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.