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Finding the Fourth Proportional to 280,701.68, 387,367.92 and 159,843.00

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Solution

The fourth proportional to 280,701.68, 387,367.92 and 159,843.00 is: 220,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,701.68 : 387,367.92 = 159,843.00 : x
  2. Step 2: Convert to fraction form
    280,701.68/387,367.92 = 159,843.00/x
  3. Step 3: Cross multiply
    280,701.68x = 387,367.92 × 159,843.00
  4. Step 4: Simplify right side
    280,701.68x = 61,918,048,620.77
  5. Step 5: Solve for x
    x = 61,918,048,620.77/280,701.68
  6. Step 6: Final answer
    x = 220,583.11

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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.