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Finding the Fourth Proportional to 284,874.32, 393,133.45 and 155,824.92

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Solution

The fourth proportional to 284,874.32, 393,133.45 and 155,824.92 is: 215,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,874.32 : 393,133.45 = 155,824.92 : x
  2. Step 2: Convert to fraction form
    284,874.32/393,133.45 = 155,824.92/x
  3. Step 3: Cross multiply
    284,874.32x = 393,133.45 × 155,824.92
  4. Step 4: Simplify right side
    284,874.32x = 61,259,986,429.91
  5. Step 5: Solve for x
    x = 61,259,986,429.91/284,874.32
  6. Step 6: Final answer
    x = 215,042.15

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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.