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Finding the Fourth Proportional to 280,463.76, 387,035.12 and 159,602.54

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Solution

The fourth proportional to 280,463.76, 387,035.12 and 159,602.54 is: 220,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.76 : 387,035.12 = 159,602.54 : x
  2. Step 2: Convert to fraction form
    280,463.76/387,035.12 = 159,602.54/x
  3. Step 3: Cross multiply
    280,463.76x = 387,035.12 × 159,602.54
  4. Step 4: Simplify right side
    280,463.76x = 61,771,788,221.20
  5. Step 5: Solve for x
    x = 61,771,788,221.20/280,463.76
  6. Step 6: Final answer
    x = 220,248.73

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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.