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Finding the Fourth Proportional to 414,769.40, 622,810.20 and 315,042.20

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Solution

The fourth proportional to 414,769.40, 622,810.20 and 315,042.20 is: 473,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,769.40 : 622,810.20 = 315,042.20 : x
  2. Step 2: Convert to fraction form
    414,769.40/622,810.20 = 315,042.20/x
  3. Step 3: Cross multiply
    414,769.40x = 622,810.20 × 315,042.20
  4. Step 4: Simplify right side
    414,769.40x = 196,211,495,590.44
  5. Step 5: Solve for x
    x = 196,211,495,590.44/414,769.40
  6. Step 6: Final answer
    x = 473,061.65

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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.