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Finding the Fourth Proportional to 312,501.89, 468,753.06 and 75,844.79

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Solution

The fourth proportional to 312,501.89, 468,753.06 and 75,844.79 is: 113,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,501.89 : 468,753.06 = 75,844.79 : x
  2. Step 2: Convert to fraction form
    312,501.89/468,753.06 = 75,844.79/x
  3. Step 3: Cross multiply
    312,501.89x = 468,753.06 × 75,844.79
  4. Step 4: Simplify right side
    312,501.89x = 35,552,477,397.56
  5. Step 5: Solve for x
    x = 35,552,477,397.56/312,501.89
  6. Step 6: Final answer
    x = 113,767.24

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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.