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Finding the Fourth Proportional to 397,561.76, 548,625.28 and 227,784.96

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Solution

The fourth proportional to 397,561.76, 548,625.28 and 227,784.96 is: 314,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,561.76 : 548,625.28 = 227,784.96 : x
  2. Step 2: Convert to fraction form
    397,561.76/548,625.28 = 227,784.96/x
  3. Step 3: Cross multiply
    397,561.76x = 548,625.28 × 227,784.96
  4. Step 4: Simplify right side
    397,561.76x = 124,968,587,459.79
  5. Step 5: Solve for x
    x = 124,968,587,459.79/397,561.76
  6. Step 6: Final answer
    x = 314,337.54

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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.