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Finding the Fourth Proportional to 258,369.66, 387,529.43 and 78,456.65

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Solution

The fourth proportional to 258,369.66, 387,529.43 and 78,456.65 is: 117,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,369.66 : 387,529.43 = 78,456.65 : x
  2. Step 2: Convert to fraction form
    258,369.66/387,529.43 = 78,456.65/x
  3. Step 3: Cross multiply
    258,369.66x = 387,529.43 × 78,456.65
  4. Step 4: Simplify right side
    258,369.66x = 30,404,258,524.28
  5. Step 5: Solve for x
    x = 30,404,258,524.28/258,369.66
  6. Step 6: Final answer
    x = 117,677.36

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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.