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Finding the Fourth Proportional to 361,862, 499,371.98 and 200,719.79

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Solution

The fourth proportional to 361,862, 499,371.98 and 200,719.79 is: 276,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,862 : 499,371.98 = 200,719.79 : x
  2. Step 2: Convert to fraction form
    361,862/499,371.98 = 200,719.79/x
  3. Step 3: Cross multiply
    361,862x = 499,371.98 × 200,719.79
  4. Step 4: Simplify right side
    361,862x = 100,233,838,957.48
  5. Step 5: Solve for x
    x = 100,233,838,957.48/361,862
  6. Step 6: Final answer
    x = 276,994.65

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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.