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Finding the Fourth Proportional to 414,864.40, 621,859.20 and 162,047.20

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Solution

The fourth proportional to 414,864.40, 621,859.20 and 162,047.20 is: 242,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,864.40 : 621,859.20 = 162,047.20 : x
  2. Step 2: Convert to fraction form
    414,864.40/621,859.20 = 162,047.20/x
  3. Step 3: Cross multiply
    414,864.40x = 621,859.20 × 162,047.20
  4. Step 4: Simplify right side
    414,864.40x = 100,770,542,154.24
  5. Step 5: Solve for x
    x = 100,770,542,154.24/414,864.40
  6. Step 6: Final answer
    x = 242,899.95

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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.