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Finding the Fourth Proportional to 311,191.80, 466,812.24 and 153,334.20

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Solution

The fourth proportional to 311,191.80, 466,812.24 and 153,334.20 is: 230,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,191.80 : 466,812.24 = 153,334.20 : x
  2. Step 2: Convert to fraction form
    311,191.80/466,812.24 = 153,334.20/x
  3. Step 3: Cross multiply
    311,191.80x = 466,812.24 × 153,334.20
  4. Step 4: Simplify right side
    311,191.80x = 71,578,281,370.61
  5. Step 5: Solve for x
    x = 71,578,281,370.61/311,191.80
  6. Step 6: Final answer
    x = 230,013.39

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1.5x scale

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.