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Finding the Fourth Proportional to 414,392.80, 621,432.96 and 133,834.72

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Solution

The fourth proportional to 414,392.80, 621,432.96 and 133,834.72 is: 200,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,392.80 : 621,432.96 = 133,834.72 : x
  2. Step 2: Convert to fraction form
    414,392.80/621,432.96 = 133,834.72/x
  3. Step 3: Cross multiply
    414,392.80x = 621,432.96 × 133,834.72
  4. Step 4: Simplify right side
    414,392.80x = 83,169,306,200.37
  5. Step 5: Solve for x
    x = 83,169,306,200.37/414,392.80
  6. Step 6: Final answer
    x = 200,701.62

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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.