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Finding the Fourth Proportional to 272,951.40, 409,427.10 and 228,664.65

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Solution

The fourth proportional to 272,951.40, 409,427.10 and 228,664.65 is: 342,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,951.40 : 409,427.10 = 228,664.65 : x
  2. Step 2: Convert to fraction form
    272,951.40/409,427.10 = 228,664.65/x
  3. Step 3: Cross multiply
    272,951.40x = 409,427.10 × 228,664.65
  4. Step 4: Simplify right side
    272,951.40x = 93,621,504,522.02
  5. Step 5: Solve for x
    x = 93,621,504,522.02/272,951.40
  6. Step 6: Final answer
    x = 342,996.98

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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.