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Finding the Fourth Proportional to 414,655.89, 572,401.70 and 278,768.64

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Solution

The fourth proportional to 414,655.89, 572,401.70 and 278,768.64 is: 384,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,655.89 : 572,401.70 = 278,768.64 : x
  2. Step 2: Convert to fraction form
    414,655.89/572,401.70 = 278,768.64/x
  3. Step 3: Cross multiply
    414,655.89x = 572,401.70 × 278,768.64
  4. Step 4: Simplify right side
    414,655.89x = 159,567,642,048.85
  5. Step 5: Solve for x
    x = 159,567,642,048.85/414,655.89
  6. Step 6: Final answer
    x = 384,819.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.