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Finding the Fourth Proportional to 258,502.20, 387,594.54 and 100,546.56

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Solution

The fourth proportional to 258,502.20, 387,594.54 and 100,546.56 is: 150,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,502.20 : 387,594.54 = 100,546.56 : x
  2. Step 2: Convert to fraction form
    258,502.20/387,594.54 = 100,546.56/x
  3. Step 3: Cross multiply
    258,502.20x = 387,594.54 × 100,546.56
  4. Step 4: Simplify right side
    258,502.20x = 38,971,297,671.78
  5. Step 5: Solve for x
    x = 38,971,297,671.78/258,502.20
  6. Step 6: Final answer
    x = 150,758.09

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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.