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Finding the Fourth Proportional to 300,121.80, 414,203.82 and 172,822.20

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Solution

The fourth proportional to 300,121.80, 414,203.82 and 172,822.20 is: 238,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,121.80 : 414,203.82 = 172,822.20 : x
  2. Step 2: Convert to fraction form
    300,121.80/414,203.82 = 172,822.20/x
  3. Step 3: Cross multiply
    300,121.80x = 414,203.82 × 172,822.20
  4. Step 4: Simplify right side
    300,121.80x = 71,583,615,420.80
  5. Step 5: Solve for x
    x = 71,583,615,420.80/300,121.80
  6. Step 6: Final answer
    x = 238,515.21

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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.