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Finding the Fourth Proportional to 272,928.30, 409,392.45 and 229,625.70

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Solution

The fourth proportional to 272,928.30, 409,392.45 and 229,625.70 is: 344,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,928.30 : 409,392.45 = 229,625.70 : x
  2. Step 2: Convert to fraction form
    272,928.30/409,392.45 = 229,625.70/x
  3. Step 3: Cross multiply
    272,928.30x = 409,392.45 × 229,625.70
  4. Step 4: Simplify right side
    272,928.30x = 94,007,027,905.97
  5. Step 5: Solve for x
    x = 94,007,027,905.97/272,928.30
  6. Step 6: Final answer
    x = 344,438.55

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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.