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Finding the Fourth Proportional to 280,407.58, 386,984.54 and 159,553.96

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Solution

The fourth proportional to 280,407.58, 386,984.54 and 159,553.96 is: 220,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,407.58 : 386,984.54 = 159,553.96 : x
  2. Step 2: Convert to fraction form
    280,407.58/386,984.54 = 159,553.96/x
  3. Step 3: Cross multiply
    280,407.58x = 386,984.54 × 159,553.96
  4. Step 4: Simplify right side
    280,407.58x = 61,744,915,815.78
  5. Step 5: Solve for x
    x = 61,744,915,815.78/280,407.58
  6. Step 6: Final answer
    x = 220,197.03

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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.