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Finding the Fourth Proportional to 654,321.47, 981,480.71 and 205,076.57

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Solution

The fourth proportional to 654,321.47, 981,480.71 and 205,076.57 is: 307,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,321.47 : 981,480.71 = 205,076.57 : x
  2. Step 2: Convert to fraction form
    654,321.47/981,480.71 = 205,076.57/x
  3. Step 3: Cross multiply
    654,321.47x = 981,480.71 × 205,076.57
  4. Step 4: Simplify right side
    654,321.47x = 201,278,691,595.18
  5. Step 5: Solve for x
    x = 201,278,691,595.18/654,321.47
  6. Step 6: Final answer
    x = 307,614.38

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1.5x scale

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.