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Finding the Fourth Proportional to 409,290.75, 564,799.28 and 225,523.62

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Solution

The fourth proportional to 409,290.75, 564,799.28 and 225,523.62 is: 311,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,290.75 : 564,799.28 = 225,523.62 : x
  2. Step 2: Convert to fraction form
    409,290.75/564,799.28 = 225,523.62/x
  3. Step 3: Cross multiply
    409,290.75x = 564,799.28 × 225,523.62
  4. Step 4: Simplify right side
    409,290.75x = 127,375,577,071.38
  5. Step 5: Solve for x
    x = 127,375,577,071.38/409,290.75
  6. Step 6: Final answer
    x = 311,210.50

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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.