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Finding the Fourth Proportional to 306,881.40, 459,751.86 and 166,757.88

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Solution

The fourth proportional to 306,881.40, 459,751.86 and 166,757.88 is: 249,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,881.40 : 459,751.86 = 166,757.88 : x
  2. Step 2: Convert to fraction form
    306,881.40/459,751.86 = 166,757.88/x
  3. Step 3: Cross multiply
    306,881.40x = 459,751.86 × 166,757.88
  4. Step 4: Simplify right side
    306,881.40x = 76,667,245,499.66
  5. Step 5: Solve for x
    x = 76,667,245,499.66/306,881.40
  6. Step 6: Final answer
    x = 249,826.95

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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.