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Finding the Fourth Proportional to 305,542.72, 458,649.20 and 242,766.24

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Solution

The fourth proportional to 305,542.72, 458,649.20 and 242,766.24 is: 364,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,542.72 : 458,649.20 = 242,766.24 : x
  2. Step 2: Convert to fraction form
    305,542.72/458,649.20 = 242,766.24/x
  3. Step 3: Cross multiply
    305,542.72x = 458,649.20 × 242,766.24
  4. Step 4: Simplify right side
    305,542.72x = 111,344,541,763.01
  5. Step 5: Solve for x
    x = 111,344,541,763.01/305,542.72
  6. Step 6: Final answer
    x = 364,415.63

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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.