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Finding the Fourth Proportional to 300,133.80, 414,220.37 and 172,834.20

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Solution

The fourth proportional to 300,133.80, 414,220.37 and 172,834.20 is: 238,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,133.80 : 414,220.37 = 172,834.20 : x
  2. Step 2: Convert to fraction form
    300,133.80/414,220.37 = 172,834.20/x
  3. Step 3: Cross multiply
    300,133.80x = 414,220.37 × 172,834.20
  4. Step 4: Simplify right side
    300,133.80x = 71,591,445,408.48
  5. Step 5: Solve for x
    x = 71,591,445,408.48/300,133.80
  6. Step 6: Final answer
    x = 238,531.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.