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Finding the Fourth Proportional to 313,472.70, 470,209.05 and 225,555.30

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Solution

The fourth proportional to 313,472.70, 470,209.05 and 225,555.30 is: 338,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,472.70 : 470,209.05 = 225,555.30 : x
  2. Step 2: Convert to fraction form
    313,472.70/470,209.05 = 225,555.30/x
  3. Step 3: Cross multiply
    313,472.70x = 470,209.05 × 225,555.30
  4. Step 4: Simplify right side
    313,472.70x = 106,058,143,335.47
  5. Step 5: Solve for x
    x = 106,058,143,335.47/313,472.70
  6. Step 6: Final answer
    x = 338,332.95

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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.