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Finding the Fourth Proportional to 306,065.96, 459,125.42 and 84,449.96

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Solution

The fourth proportional to 306,065.96, 459,125.42 and 84,449.96 is: 126,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.96 : 459,125.42 = 84,449.96 : x
  2. Step 2: Convert to fraction form
    306,065.96/459,125.42 = 84,449.96/x
  3. Step 3: Cross multiply
    306,065.96x = 459,125.42 × 84,449.96
  4. Step 4: Simplify right side
    306,065.96x = 38,773,123,353.98
  5. Step 5: Solve for x
    x = 38,773,123,353.98/306,065.96
  6. Step 6: Final answer
    x = 126,682.25

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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.