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Finding the Fourth Proportional to 312,354.48, 468,724.38 and 122,781.54

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Solution

The fourth proportional to 312,354.48, 468,724.38 and 122,781.54 is: 184,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,354.48 : 468,724.38 = 122,781.54 : x
  2. Step 2: Convert to fraction form
    312,354.48/468,724.38 = 122,781.54/x
  3. Step 3: Cross multiply
    312,354.48x = 468,724.38 × 122,781.54
  4. Step 4: Simplify right side
    312,354.48x = 57,550,701,211.95
  5. Step 5: Solve for x
    x = 57,550,701,211.95/312,354.48
  6. Step 6: Final answer
    x = 184,248.04

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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.