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Finding the Fourth Proportional to 279,686.17, 419,895.12 and 166,041.44

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Solution

The fourth proportional to 279,686.17, 419,895.12 and 166,041.44 is: 249,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,686.17 : 419,895.12 = 166,041.44 : x
  2. Step 2: Convert to fraction form
    279,686.17/419,895.12 = 166,041.44/x
  3. Step 3: Cross multiply
    279,686.17x = 419,895.12 × 166,041.44
  4. Step 4: Simplify right side
    279,686.17x = 69,719,991,432.49
  5. Step 5: Solve for x
    x = 69,719,991,432.49/279,686.17
  6. Step 6: Final answer
    x = 249,279.37

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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.