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Finding the Fourth Proportional to 312,502.06, 468,780.78 and 87,864.46

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Solution

The fourth proportional to 312,502.06, 468,780.78 and 87,864.46 is: 131,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,502.06 : 468,780.78 = 87,864.46 : x
  2. Step 2: Convert to fraction form
    312,502.06/468,780.78 = 87,864.46/x
  3. Step 3: Cross multiply
    312,502.06x = 468,780.78 × 87,864.46
  4. Step 4: Simplify right side
    312,502.06x = 41,189,170,093.08
  5. Step 5: Solve for x
    x = 41,189,170,093.08/312,502.06
  6. Step 6: Final answer
    x = 131,804.48

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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.