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Finding the Fourth Proportional to 402,712.16, 603,690.98 and 136,286.15

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Solution

The fourth proportional to 402,712.16, 603,690.98 and 136,286.15 is: 204,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,712.16 : 603,690.98 = 136,286.15 : x
  2. Step 2: Convert to fraction form
    402,712.16/603,690.98 = 136,286.15/x
  3. Step 3: Cross multiply
    402,712.16x = 603,690.98 × 136,286.15
  4. Step 4: Simplify right side
    402,712.16x = 82,274,715,754.04
  5. Step 5: Solve for x
    x = 82,274,715,754.04/402,712.16
  6. Step 6: Final answer
    x = 204,301.55

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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.