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Finding the Fourth Proportional to 280,474.12, 420,652.86 and 166,665.88

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Solution

The fourth proportional to 280,474.12, 420,652.86 and 166,665.88 is: 249,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,474.12 : 420,652.86 = 166,665.88 : x
  2. Step 2: Convert to fraction form
    280,474.12/420,652.86 = 166,665.88/x
  3. Step 3: Cross multiply
    280,474.12x = 420,652.86 × 166,665.88
  4. Step 4: Simplify right side
    280,474.12x = 70,108,479,086.42
  5. Step 5: Solve for x
    x = 70,108,479,086.42/280,474.12
  6. Step 6: Final answer
    x = 249,964.16

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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.