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Finding the Fourth Proportional to 311,230.60, 465,809.10 and 273,905.80

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Solution

The fourth proportional to 311,230.60, 465,809.10 and 273,905.80 is: 409,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.60 : 465,809.10 = 273,905.80 : x
  2. Step 2: Convert to fraction form
    311,230.60/465,809.10 = 273,905.80/x
  3. Step 3: Cross multiply
    311,230.60x = 465,809.10 × 273,905.80
  4. Step 4: Simplify right side
    311,230.60x = 127,587,814,182.78
  5. Step 5: Solve for x
    x = 127,587,814,182.78/311,230.60
  6. Step 6: Final answer
    x = 409,946.24

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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.