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Finding the Fourth Proportional to 258,448.95, 387,514.67 and 100,493.28

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Solution

The fourth proportional to 258,448.95, 387,514.67 and 100,493.28 is: 150,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,448.95 : 387,514.67 = 100,493.28 : x
  2. Step 2: Convert to fraction form
    258,448.95/387,514.67 = 100,493.28/x
  3. Step 3: Cross multiply
    258,448.95x = 387,514.67 × 100,493.28
  4. Step 4: Simplify right side
    258,448.95x = 38,942,619,733.95
  5. Step 5: Solve for x
    x = 38,942,619,733.95/258,448.95
  6. Step 6: Final answer
    x = 150,678.19

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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.