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Finding the Fourth Proportional to 284,036.63, 391,978.74 and 156,720.42

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Solution

The fourth proportional to 284,036.63, 391,978.74 and 156,720.42 is: 216,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,036.63 : 391,978.74 = 156,720.42 : x
  2. Step 2: Convert to fraction form
    284,036.63/391,978.74 = 156,720.42/x
  3. Step 3: Cross multiply
    284,036.63x = 391,978.74 × 156,720.42
  4. Step 4: Simplify right side
    284,036.63x = 61,431,073,351.57
  5. Step 5: Solve for x
    x = 61,431,073,351.57/284,036.63
  6. Step 6: Final answer
    x = 216,278.70

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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.