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Finding the Fourth Proportional to 312,297.30, 468,375.80 and 143,655.66

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Solution

The fourth proportional to 312,297.30, 468,375.80 and 143,655.66 is: 215,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297.30 : 468,375.80 = 143,655.66 : x
  2. Step 2: Convert to fraction form
    312,297.30/468,375.80 = 143,655.66/x
  3. Step 3: Cross multiply
    312,297.30x = 468,375.80 × 143,655.66
  4. Step 4: Simplify right side
    312,297.30x = 67,284,833,958.75
  5. Step 5: Solve for x
    x = 67,284,833,958.75/312,297.30
  6. Step 6: Final answer
    x = 215,451.22

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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.