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Finding the Fourth Proportional to 300,057.40, 414,118.38 and 172,738.36

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Solution

The fourth proportional to 300,057.40, 414,118.38 and 172,738.36 is: 238,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,057.40 : 414,118.38 = 172,738.36 : x
  2. Step 2: Convert to fraction form
    300,057.40/414,118.38 = 172,738.36/x
  3. Step 3: Cross multiply
    300,057.40x = 414,118.38 × 172,738.36
  4. Step 4: Simplify right side
    300,057.40x = 71,534,129,807.06
  5. Step 5: Solve for x
    x = 71,534,129,807.06/300,057.40
  6. Step 6: Final answer
    x = 238,401.49

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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.