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Finding the Fourth Proportional to 306,156.14, 459,242.85 and 84,540.14

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Solution

The fourth proportional to 306,156.14, 459,242.85 and 84,540.14 is: 126,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,156.14 : 459,242.85 = 84,540.14 : x
  2. Step 2: Convert to fraction form
    306,156.14/459,242.85 = 84,540.14/x
  3. Step 3: Cross multiply
    306,156.14x = 459,242.85 × 84,540.14
  4. Step 4: Simplify right side
    306,156.14x = 38,824,454,833.00
  5. Step 5: Solve for x
    x = 38,824,454,833.00/306,156.14
  6. Step 6: Final answer
    x = 126,812.60

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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.