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Finding the Fourth Proportional to 306,086.50, 459,156.21 and 84,470.50

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Solution

The fourth proportional to 306,086.50, 459,156.21 and 84,470.50 is: 126,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,086.50 : 459,156.21 = 84,470.50 : x
  2. Step 2: Convert to fraction form
    306,086.50/459,156.21 = 84,470.50/x
  3. Step 3: Cross multiply
    306,086.50x = 459,156.21 × 84,470.50
  4. Step 4: Simplify right side
    306,086.50x = 38,785,154,636.81
  5. Step 5: Solve for x
    x = 38,785,154,636.81/306,086.50
  6. Step 6: Final answer
    x = 126,713.05

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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.