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Finding the Fourth Proportional to 312,305.55, 468,388.19 and 143,663.90

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Solution

The fourth proportional to 312,305.55, 468,388.19 and 143,663.90 is: 215,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,305.55 : 468,388.19 = 143,663.90 : x
  2. Step 2: Convert to fraction form
    312,305.55/468,388.19 = 143,663.90/x
  3. Step 3: Cross multiply
    312,305.55x = 468,388.19 × 143,663.90
  4. Step 4: Simplify right side
    312,305.55x = 67,290,471,029.08
  5. Step 5: Solve for x
    x = 67,290,471,029.08/312,305.55
  6. Step 6: Final answer
    x = 215,463.58

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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.