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Finding the Fourth Proportional to 398,773.12, 550,285.29 and 226,667.20

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Solution

The fourth proportional to 398,773.12, 550,285.29 and 226,667.20 is: 312,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,773.12 : 550,285.29 = 226,667.20 : x
  2. Step 2: Convert to fraction form
    398,773.12/550,285.29 = 226,667.20/x
  3. Step 3: Cross multiply
    398,773.12x = 550,285.29 × 226,667.20
  4. Step 4: Simplify right side
    398,773.12x = 124,731,625,885.49
  5. Step 5: Solve for x
    x = 124,731,625,885.49/398,773.12
  6. Step 6: Final answer
    x = 312,788.45

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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.