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Finding the Fourth Proportional to 408,758.50, 613,159.62 and 128,297.62

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Solution

The fourth proportional to 408,758.50, 613,159.62 and 128,297.62 is: 192,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,758.50 : 613,159.62 = 128,297.62 : x
  2. Step 2: Convert to fraction form
    408,758.50/613,159.62 = 128,297.62/x
  3. Step 3: Cross multiply
    408,758.50x = 613,159.62 × 128,297.62
  4. Step 4: Simplify right side
    408,758.50x = 78,666,919,926.10
  5. Step 5: Solve for x
    x = 78,666,919,926.10/408,758.50
  6. Step 6: Final answer
    x = 192,453.29

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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.