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Finding the Fourth Proportional to 457,793.20, 687,251.40 and 289,313.20

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Solution

The fourth proportional to 457,793.20, 687,251.40 and 289,313.20 is: 434,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,793.20 : 687,251.40 = 289,313.20 : x
  2. Step 2: Convert to fraction form
    457,793.20/687,251.40 = 289,313.20/x
  3. Step 3: Cross multiply
    457,793.20x = 687,251.40 × 289,313.20
  4. Step 4: Simplify right side
    457,793.20x = 198,830,901,738.48
  5. Step 5: Solve for x
    x = 198,830,901,738.48/457,793.20
  6. Step 6: Final answer
    x = 434,324.72

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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.