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Finding the Fourth Proportional to 408,707.84, 613,062.10 and 195,425.57

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Solution

The fourth proportional to 408,707.84, 613,062.10 and 195,425.57 is: 293,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,707.84 : 613,062.10 = 195,425.57 : x
  2. Step 2: Convert to fraction form
    408,707.84/613,062.10 = 195,425.57/x
  3. Step 3: Cross multiply
    408,707.84x = 613,062.10 × 195,425.57
  4. Step 4: Simplify right side
    408,707.84x = 119,808,010,337.90
  5. Step 5: Solve for x
    x = 119,808,010,337.90/408,707.84
  6. Step 6: Final answer
    x = 293,138.52

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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.