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Finding the Fourth Proportional to 418,199.67, 627,311.80 and 102,656.57

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Solution

The fourth proportional to 418,199.67, 627,311.80 and 102,656.57 is: 153,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,199.67 : 627,311.80 = 102,656.57 : x
  2. Step 2: Convert to fraction form
    418,199.67/627,311.80 = 102,656.57/x
  3. Step 3: Cross multiply
    418,199.67x = 627,311.80 × 102,656.57
  4. Step 4: Simplify right side
    418,199.67x = 64,397,674,571.97
  5. Step 5: Solve for x
    x = 64,397,674,571.97/418,199.67
  6. Step 6: Final answer
    x = 153,987.87

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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.