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Finding the Fourth Proportional to 361,871.73, 499,373.34 and 208,904.73

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Solution

The fourth proportional to 361,871.73, 499,373.34 and 208,904.73 is: 288,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871.73 : 499,373.34 = 208,904.73 : x
  2. Step 2: Convert to fraction form
    361,871.73/499,373.34 = 208,904.73/x
  3. Step 3: Cross multiply
    361,871.73x = 499,373.34 × 208,904.73
  4. Step 4: Simplify right side
    361,871.73x = 104,321,452,761.90
  5. Step 5: Solve for x
    x = 104,321,452,761.90/361,871.73
  6. Step 6: Final answer
    x = 288,282.96

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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.