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Finding the Fourth Proportional to 310,510.20, 465,765.30 and 271,144.20

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Solution

The fourth proportional to 310,510.20, 465,765.30 and 271,144.20 is: 406,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,510.20 : 465,765.30 = 271,144.20 : x
  2. Step 2: Convert to fraction form
    310,510.20/465,765.30 = 271,144.20/x
  3. Step 3: Cross multiply
    310,510.20x = 465,765.30 × 271,144.20
  4. Step 4: Simplify right side
    310,510.20x = 126,289,559,656.26
  5. Step 5: Solve for x
    x = 126,289,559,656.26/310,510.20
  6. Step 6: Final answer
    x = 406,716.30

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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.