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Finding the Fourth Proportional to 306,132.64, 459,198.32 and 84,516

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Solution

The fourth proportional to 306,132.64, 459,198.32 and 84,516 is: 126,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,132.64 : 459,198.32 = 84,516 : x
  2. Step 2: Convert to fraction form
    306,132.64/459,198.32 = 84,516/x
  3. Step 3: Cross multiply
    306,132.64x = 459,198.32 × 84,516
  4. Step 4: Simplify right side
    306,132.64x = 38,809,605,213.12
  5. Step 5: Solve for x
    x = 38,809,605,213.12/306,132.64
  6. Step 6: Final answer
    x = 126,773.82

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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.