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Finding the Fourth Proportional to 258,394.89, 387,648.24 and 78,465.54

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Solution

The fourth proportional to 258,394.89, 387,648.24 and 78,465.54 is: 117,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,394.89 : 387,648.24 = 78,465.54 : x
  2. Step 2: Convert to fraction form
    258,394.89/387,648.24 = 78,465.54/x
  3. Step 3: Cross multiply
    258,394.89x = 387,648.24 × 78,465.54
  4. Step 4: Simplify right side
    258,394.89x = 30,417,028,481.65
  5. Step 5: Solve for x
    x = 30,417,028,481.65/258,394.89
  6. Step 6: Final answer
    x = 117,715.29

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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.