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Finding the Fourth Proportional to 284,436.95, 392,519.59 and 155,373.84

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Solution

The fourth proportional to 284,436.95, 392,519.59 and 155,373.84 is: 214,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,436.95 : 392,519.59 = 155,373.84 : x
  2. Step 2: Convert to fraction form
    284,436.95/392,519.59 = 155,373.84/x
  3. Step 3: Cross multiply
    284,436.95x = 392,519.59 × 155,373.84
  4. Step 4: Simplify right side
    284,436.95x = 60,987,275,585.09
  5. Step 5: Solve for x
    x = 60,987,275,585.09/284,436.95
  6. Step 6: Final answer
    x = 214,414.04

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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.