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Finding the Fourth Proportional to 414,406.80, 621,453.96 and 133,848.72

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Solution

The fourth proportional to 414,406.80, 621,453.96 and 133,848.72 is: 200,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,406.80 : 621,453.96 = 133,848.72 : x
  2. Step 2: Convert to fraction form
    414,406.80/621,453.96 = 133,848.72/x
  3. Step 3: Cross multiply
    414,406.80x = 621,453.96 × 133,848.72
  4. Step 4: Simplify right side
    414,406.80x = 83,180,817,084.93
  5. Step 5: Solve for x
    x = 83,180,817,084.93/414,406.80
  6. Step 6: Final answer
    x = 200,722.62

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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.