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Finding the Fourth Proportional to 515,229.32, 773,066.46 and 278,738.60

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Solution

The fourth proportional to 515,229.32, 773,066.46 and 278,738.60 is: 418,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,229.32 : 773,066.46 = 278,738.60 : x
  2. Step 2: Convert to fraction form
    515,229.32/773,066.46 = 278,738.60/x
  3. Step 3: Cross multiply
    515,229.32x = 773,066.46 × 278,738.60
  4. Step 4: Simplify right side
    515,229.32x = 215,483,462,767.36
  5. Step 5: Solve for x
    x = 215,483,462,767.36/515,229.32
  6. Step 6: Final answer
    x = 418,228.26

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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.