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Finding the Fourth Proportional to 272,476.89, 408,801.74 and 147,749.85

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Solution

The fourth proportional to 272,476.89, 408,801.74 and 147,749.85 is: 221,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,476.89 : 408,801.74 = 147,749.85 : x
  2. Step 2: Convert to fraction form
    272,476.89/408,801.74 = 147,749.85/x
  3. Step 3: Cross multiply
    272,476.89x = 408,801.74 × 147,749.85
  4. Step 4: Simplify right side
    272,476.89x = 60,400,395,025.99
  5. Step 5: Solve for x
    x = 60,400,395,025.99/272,476.89
  6. Step 6: Final answer
    x = 221,671.63

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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.