Home / 409,209.39-564,257.61-280,169.10

Finding the Fourth Proportional to 409,209.39, 564,257.61 and 280,169.10

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Solution

The fourth proportional to 409,209.39, 564,257.61 and 280,169.10 is: 386,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,209.39 : 564,257.61 = 280,169.10 : x
  2. Step 2: Convert to fraction form
    409,209.39/564,257.61 = 280,169.10/x
  3. Step 3: Cross multiply
    409,209.39x = 564,257.61 × 280,169.10
  4. Step 4: Simplify right side
    409,209.39x = 158,087,546,761.85
  5. Step 5: Solve for x
    x = 158,087,546,761.85/409,209.39
  6. Step 6: Final answer
    x = 386,324.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.