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Finding the Fourth Proportional to 306,085.50, 459,154.71 and 84,469.50

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Solution

The fourth proportional to 306,085.50, 459,154.71 and 84,469.50 is: 126,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.50 : 459,154.71 = 84,469.50 : x
  2. Step 2: Convert to fraction form
    306,085.50/459,154.71 = 84,469.50/x
  3. Step 3: Cross multiply
    306,085.50x = 459,154.71 × 84,469.50
  4. Step 4: Simplify right side
    306,085.50x = 38,784,568,776.35
  5. Step 5: Solve for x
    x = 38,784,568,776.35/306,085.50
  6. Step 6: Final answer
    x = 126,711.55

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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.