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Finding the Fourth Proportional to 258,325.52, 387,489.52 and 78,412.50

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Solution

The fourth proportional to 258,325.52, 387,489.52 and 78,412.50 is: 117,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,325.52 : 387,489.52 = 78,412.50 : x
  2. Step 2: Convert to fraction form
    258,325.52/387,489.52 = 78,412.50/x
  3. Step 3: Cross multiply
    258,325.52x = 387,489.52 × 78,412.50
  4. Step 4: Simplify right side
    258,325.52x = 30,384,021,987
  5. Step 5: Solve for x
    x = 30,384,021,987/258,325.52
  6. Step 6: Final answer
    x = 117,619.13

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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.