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Finding the Fourth Proportional to 412,387.48, 569,067.78 and 242,588.80

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Solution

The fourth proportional to 412,387.48, 569,067.78 and 242,588.80 is: 334,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,387.48 : 569,067.78 = 242,588.80 : x
  2. Step 2: Convert to fraction form
    412,387.48/569,067.78 = 242,588.80/x
  3. Step 3: Cross multiply
    412,387.48x = 569,067.78 × 242,588.80
  4. Step 4: Simplify right side
    412,387.48x = 138,049,469,868.86
  5. Step 5: Solve for x
    x = 138,049,469,868.86/412,387.48
  6. Step 6: Final answer
    x = 334,756.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.