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Finding the Fourth Proportional to 298,023.40, 447,114.30 and 129,471.40

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Solution

The fourth proportional to 298,023.40, 447,114.30 and 129,471.40 is: 194,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,023.40 : 447,114.30 = 129,471.40 : x
  2. Step 2: Convert to fraction form
    298,023.40/447,114.30 = 129,471.40/x
  3. Step 3: Cross multiply
    298,023.40x = 447,114.30 × 129,471.40
  4. Step 4: Simplify right side
    298,023.40x = 57,888,514,381.02
  5. Step 5: Solve for x
    x = 57,888,514,381.02/298,023.40
  6. Step 6: Final answer
    x = 194,241.51

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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.