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Finding the Fourth Proportional to 284,756.83, 392,961.11 and 157,429.69

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Solution

The fourth proportional to 284,756.83, 392,961.11 and 157,429.69 is: 217,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,756.83 : 392,961.11 = 157,429.69 : x
  2. Step 2: Convert to fraction form
    284,756.83/392,961.11 = 157,429.69/x
  3. Step 3: Cross multiply
    284,756.83x = 392,961.11 × 157,429.69
  4. Step 4: Simplify right side
    284,756.83x = 61,863,743,959.80
  5. Step 5: Solve for x
    x = 61,863,743,959.80/284,756.83
  6. Step 6: Final answer
    x = 217,251.13

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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.