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Finding the Fourth Proportional to 472,191.20, 708,286.80 and 313,906.40

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Solution

The fourth proportional to 472,191.20, 708,286.80 and 313,906.40 is: 470,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,191.20 : 708,286.80 = 313,906.40 : x
  2. Step 2: Convert to fraction form
    472,191.20/708,286.80 = 313,906.40/x
  3. Step 3: Cross multiply
    472,191.20x = 708,286.80 × 313,906.40
  4. Step 4: Simplify right side
    472,191.20x = 222,335,759,555.52
  5. Step 5: Solve for x
    x = 222,335,759,555.52/472,191.20
  6. Step 6: Final answer
    x = 470,859.60

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Double scale
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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.