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Finding the Fourth Proportional to 307,421.80, 461,132.70 and 180,932.20

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Solution

The fourth proportional to 307,421.80, 461,132.70 and 180,932.20 is: 271,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,421.80 : 461,132.70 = 180,932.20 : x
  2. Step 2: Convert to fraction form
    307,421.80/461,132.70 = 180,932.20/x
  3. Step 3: Cross multiply
    307,421.80x = 461,132.70 × 180,932.20
  4. Step 4: Simplify right side
    307,421.80x = 83,433,753,902.94
  5. Step 5: Solve for x
    x = 83,433,753,902.94/307,421.80
  6. Step 6: Final answer
    x = 271,398.30

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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.