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Finding the Fourth Proportional to 268,206.89, 402,408.45 and 252,362.08

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Solution

The fourth proportional to 268,206.89, 402,408.45 and 252,362.08 is: 378,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,206.89 : 402,408.45 = 252,362.08 : x
  2. Step 2: Convert to fraction form
    268,206.89/402,408.45 = 252,362.08/x
  3. Step 3: Cross multiply
    268,206.89x = 402,408.45 × 252,362.08
  4. Step 4: Simplify right side
    268,206.89x = 101,552,630,177.72
  5. Step 5: Solve for x
    x = 101,552,630,177.72/268,206.89
  6. Step 6: Final answer
    x = 378,635.43

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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.