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Finding the Fourth Proportional to 862,744.80, 1,293,145.20 and 413,680.80

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Solution

The fourth proportional to 862,744.80, 1,293,145.20 and 413,680.80 is: 620,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,744.80 : 1,293,145.20 = 413,680.80 : x
  2. Step 2: Convert to fraction form
    862,744.80/1,293,145.20 = 413,680.80/x
  3. Step 3: Cross multiply
    862,744.80x = 1,293,145.20 × 413,680.80
  4. Step 4: Simplify right side
    862,744.80x = 534,949,340,852.16
  5. Step 5: Solve for x
    x = 534,949,340,852.16/862,744.80
  6. Step 6: Final answer
    x = 620,055.13

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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.