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Finding the Fourth Proportional to 312,470.64, 468,654.84 and 87,846.48

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Solution

The fourth proportional to 312,470.64, 468,654.84 and 87,846.48 is: 131,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.64 : 468,654.84 = 87,846.48 : x
  2. Step 2: Convert to fraction form
    312,470.64/468,654.84 = 87,846.48/x
  3. Step 3: Cross multiply
    312,470.64x = 468,654.84 × 87,846.48
  4. Step 4: Simplify right side
    312,470.64x = 41,169,678,028.96
  5. Step 5: Solve for x
    x = 41,169,678,028.96/312,470.64
  6. Step 6: Final answer
    x = 131,755.35

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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.