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Finding the Fourth Proportional to 258,441.20, 387,373.80 and 100,617.20

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Solution

The fourth proportional to 258,441.20, 387,373.80 and 100,617.20 is: 150,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,441.20 : 387,373.80 = 100,617.20 : x
  2. Step 2: Convert to fraction form
    258,441.20/387,373.80 = 100,617.20/x
  3. Step 3: Cross multiply
    258,441.20x = 387,373.80 × 100,617.20
  4. Step 4: Simplify right side
    258,441.20x = 38,976,467,109.36
  5. Step 5: Solve for x
    x = 38,976,467,109.36/258,441.20
  6. Step 6: Final answer
    x = 150,813.67

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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.