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Finding the Fourth Proportional to 408,812.64, 613,315.68 and 138,958.56

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Solution

The fourth proportional to 408,812.64, 613,315.68 and 138,958.56 is: 208,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,812.64 : 613,315.68 = 138,958.56 : x
  2. Step 2: Convert to fraction form
    408,812.64/613,315.68 = 138,958.56/x
  3. Step 3: Cross multiply
    408,812.64x = 613,315.68 × 138,958.56
  4. Step 4: Simplify right side
    408,812.64x = 85,225,463,718.22
  5. Step 5: Solve for x
    x = 85,225,463,718.22/408,812.64
  6. Step 6: Final answer
    x = 208,470.72

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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.