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Finding the Fourth Proportional to 432,859.10, 649,288.65 and 313,972.70

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Solution

The fourth proportional to 432,859.10, 649,288.65 and 313,972.70 is: 470,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,859.10 : 649,288.65 = 313,972.70 : x
  2. Step 2: Convert to fraction form
    432,859.10/649,288.65 = 313,972.70/x
  3. Step 3: Cross multiply
    432,859.10x = 649,288.65 × 313,972.70
  4. Step 4: Simplify right side
    432,859.10x = 203,858,910,519.86
  5. Step 5: Solve for x
    x = 203,858,910,519.86/432,859.10
  6. Step 6: Final answer
    x = 470,959.05

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Similar ratio
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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.