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Finding the Fourth Proportional to 312,853.60, 468,999.73 and 113,127.04

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Solution

The fourth proportional to 312,853.60, 468,999.73 and 113,127.04 is: 169,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,853.60 : 468,999.73 = 113,127.04 : x
  2. Step 2: Convert to fraction form
    312,853.60/468,999.73 = 113,127.04/x
  3. Step 3: Cross multiply
    312,853.60x = 468,999.73 × 113,127.04
  4. Step 4: Simplify right side
    312,853.60x = 53,056,551,215.70
  5. Step 5: Solve for x
    x = 53,056,551,215.70/312,853.60
  6. Step 6: Final answer
    x = 169,589.07

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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.