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Finding the Fourth Proportional to 361,871.76, 499,373.39 and 208,904.78

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Solution

The fourth proportional to 361,871.76, 499,373.39 and 208,904.78 is: 288,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871.76 : 499,373.39 = 208,904.78 : x
  2. Step 2: Convert to fraction form
    361,871.76/499,373.39 = 208,904.78/x
  3. Step 3: Cross multiply
    361,871.76x = 499,373.39 × 208,904.78
  4. Step 4: Simplify right side
    361,871.76x = 104,321,484,634.41
  5. Step 5: Solve for x
    x = 104,321,484,634.41/361,871.76
  6. Step 6: Final answer
    x = 288,283.02

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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.