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Finding the Fourth Proportional to 280,642.68, 387,244.16 and 159,789.04

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Solution

The fourth proportional to 280,642.68, 387,244.16 and 159,789.04 is: 220,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,642.68 : 387,244.16 = 159,789.04 : x
  2. Step 2: Convert to fraction form
    280,642.68/387,244.16 = 159,789.04/x
  3. Step 3: Cross multiply
    280,642.68x = 387,244.16 × 159,789.04
  4. Step 4: Simplify right side
    280,642.68x = 61,877,372,572.01
  5. Step 5: Solve for x
    x = 61,877,372,572.01/280,642.68
  6. Step 6: Final answer
    x = 220,484.54

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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.