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Finding the Fourth Proportional to 414,530.08, 621,811.20 and 130,414.40

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Solution

The fourth proportional to 414,530.08, 621,811.20 and 130,414.40 is: 195,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,530.08 : 621,811.20 = 130,414.40 : x
  2. Step 2: Convert to fraction form
    414,530.08/621,811.20 = 130,414.40/x
  3. Step 3: Cross multiply
    414,530.08x = 621,811.20 × 130,414.40
  4. Step 4: Simplify right side
    414,530.08x = 81,093,134,561.28
  5. Step 5: Solve for x
    x = 81,093,134,561.28/414,530.08
  6. Step 6: Final answer
    x = 195,626.66

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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.