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Finding the Fourth Proportional to 440,720.80, 661,164.19 and 314,046.81

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Solution

The fourth proportional to 440,720.80, 661,164.19 and 314,046.81 is: 471,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,720.80 : 661,164.19 = 314,046.81 : x
  2. Step 2: Convert to fraction form
    440,720.80/661,164.19 = 314,046.81/x
  3. Step 3: Cross multiply
    440,720.80x = 661,164.19 × 314,046.81
  4. Step 4: Simplify right side
    440,720.80x = 207,636,504,755.73
  5. Step 5: Solve for x
    x = 207,636,504,755.73/440,720.80
  6. Step 6: Final answer
    x = 471,129.35

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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.