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Finding the Fourth Proportional to 408,882.36, 564,161.25 and 343,718.98

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Solution

The fourth proportional to 408,882.36, 564,161.25 and 343,718.98 is: 474,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.36 : 564,161.25 = 343,718.98 : x
  2. Step 2: Convert to fraction form
    408,882.36/564,161.25 = 343,718.98/x
  3. Step 3: Cross multiply
    408,882.36x = 564,161.25 × 343,718.98
  4. Step 4: Simplify right side
    408,882.36x = 193,912,931,664.12
  5. Step 5: Solve for x
    x = 193,912,931,664.12/408,882.36
  6. Step 6: Final answer
    x = 474,251.16

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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.