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Finding the Fourth Proportional to 280,703.68, 387,370.68 and 159,845

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Solution

The fourth proportional to 280,703.68, 387,370.68 and 159,845 is: 220,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,703.68 : 387,370.68 = 159,845 : x
  2. Step 2: Convert to fraction form
    280,703.68/387,370.68 = 159,845/x
  3. Step 3: Cross multiply
    280,703.68x = 387,370.68 × 159,845
  4. Step 4: Simplify right side
    280,703.68x = 61,919,266,344.60
  5. Step 5: Solve for x
    x = 61,919,266,344.60/280,703.68
  6. Step 6: Final answer
    x = 220,585.87

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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.