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Finding the Fourth Proportional to 278,765.82, 417,115.34 and 166,507.10

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Solution

The fourth proportional to 278,765.82, 417,115.34 and 166,507.10 is: 249,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,765.82 : 417,115.34 = 166,507.10 : x
  2. Step 2: Convert to fraction form
    278,765.82/417,115.34 = 166,507.10/x
  3. Step 3: Cross multiply
    278,765.82x = 417,115.34 × 166,507.10
  4. Step 4: Simplify right side
    278,765.82x = 69,452,665,628.91
  5. Step 5: Solve for x
    x = 69,452,665,628.91/278,765.82
  6. Step 6: Final answer
    x = 249,143.41

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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.