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Finding the Fourth Proportional to 440,065.80, 661,508.10 and 408,864.60

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Solution

The fourth proportional to 440,065.80, 661,508.10 and 408,864.60 is: 614,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,065.80 : 661,508.10 = 408,864.60 : x
  2. Step 2: Convert to fraction form
    440,065.80/661,508.10 = 408,864.60/x
  3. Step 3: Cross multiply
    440,065.80x = 661,508.10 × 408,864.60
  4. Step 4: Simplify right side
    440,065.80x = 270,467,244,703.26
  5. Step 5: Solve for x
    x = 270,467,244,703.26/440,065.80
  6. Step 6: Final answer
    x = 614,606.37

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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.