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Finding the Fourth Proportional to 272,671.76, 408,869.22 and 204,580.89

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Solution

The fourth proportional to 272,671.76, 408,869.22 and 204,580.89 is: 306,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,671.76 : 408,869.22 = 204,580.89 : x
  2. Step 2: Convert to fraction form
    272,671.76/408,869.22 = 204,580.89/x
  3. Step 3: Cross multiply
    272,671.76x = 408,869.22 × 204,580.89
  4. Step 4: Simplify right side
    272,671.76x = 83,646,828,921.21
  5. Step 5: Solve for x
    x = 83,646,828,921.21/272,671.76
  6. Step 6: Final answer
    x = 306,767.49

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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.