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Finding the Fourth Proportional to 272,406.70, 408,522.12 and 99,273.79

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Solution

The fourth proportional to 272,406.70, 408,522.12 and 99,273.79 is: 148,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,406.70 : 408,522.12 = 99,273.79 : x
  2. Step 2: Convert to fraction form
    272,406.70/408,522.12 = 99,273.79/x
  3. Step 3: Cross multiply
    272,406.70x = 408,522.12 × 99,273.79
  4. Step 4: Simplify right side
    272,406.70x = 40,555,539,151.23
  5. Step 5: Solve for x
    x = 40,555,539,151.23/272,406.70
  6. Step 6: Final answer
    x = 148,878.64

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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.