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Finding the Fourth Proportional to 279,076.60, 417,740.10 and 200,344.60

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Solution

The fourth proportional to 279,076.60, 417,740.10 and 200,344.60 is: 299,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,076.60 : 417,740.10 = 200,344.60 : x
  2. Step 2: Convert to fraction form
    279,076.60/417,740.10 = 200,344.60/x
  3. Step 3: Cross multiply
    279,076.60x = 417,740.10 × 200,344.60
  4. Step 4: Simplify right side
    279,076.60x = 83,691,973,238.46
  5. Step 5: Solve for x
    x = 83,691,973,238.46/279,076.60
  6. Step 6: Final answer
    x = 299,888.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.