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Finding the Fourth Proportional to 300,217.86, 414,351.45 and 172,870.02

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Solution

The fourth proportional to 300,217.86, 414,351.45 and 172,870.02 is: 238,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,217.86 : 414,351.45 = 172,870.02 : x
  2. Step 2: Convert to fraction form
    300,217.86/414,351.45 = 172,870.02/x
  3. Step 3: Cross multiply
    300,217.86x = 414,351.45 × 172,870.02
  4. Step 4: Simplify right side
    300,217.86x = 71,628,943,448.53
  5. Step 5: Solve for x
    x = 71,628,943,448.53/300,217.86
  6. Step 6: Final answer
    x = 238,589.88

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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.