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Finding the Fourth Proportional to 472,387.44, 708,249.02 and 219,399.38

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Solution

The fourth proportional to 472,387.44, 708,249.02 and 219,399.38 is: 328,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,387.44 : 708,249.02 = 219,399.38 : x
  2. Step 2: Convert to fraction form
    472,387.44/708,249.02 = 219,399.38/x
  3. Step 3: Cross multiply
    472,387.44x = 708,249.02 × 219,399.38
  4. Step 4: Simplify right side
    472,387.44x = 155,389,397,875.20
  5. Step 5: Solve for x
    x = 155,389,397,875.20/472,387.44
  6. Step 6: Final answer
    x = 328,944.81

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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.