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Finding the Fourth Proportional to 312,494.74, 468,115.16 and 143,780.02

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Solution

The fourth proportional to 312,494.74, 468,115.16 and 143,780.02 is: 215,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,494.74 : 468,115.16 = 143,780.02 : x
  2. Step 2: Convert to fraction form
    312,494.74/468,115.16 = 143,780.02/x
  3. Step 3: Cross multiply
    312,494.74x = 468,115.16 × 143,780.02
  4. Step 4: Simplify right side
    312,494.74x = 67,305,607,067.10
  5. Step 5: Solve for x
    x = 67,305,607,067.10/312,494.74
  6. Step 6: Final answer
    x = 215,381.57

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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.