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Finding the Fourth Proportional to 258,325.52, 387,489.51 and 78,412.49

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Solution

The fourth proportional to 258,325.52, 387,489.51 and 78,412.49 is: 117,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,325.52 : 387,489.51 = 78,412.49 : x
  2. Step 2: Convert to fraction form
    258,325.52/387,489.51 = 78,412.49/x
  3. Step 3: Cross multiply
    258,325.52x = 387,489.51 × 78,412.49
  4. Step 4: Simplify right side
    258,325.52x = 30,384,017,327.98
  5. Step 5: Solve for x
    x = 30,384,017,327.98/258,325.52
  6. Step 6: Final answer
    x = 117,619.11

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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.