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Finding the Fourth Proportional to 1,640,251.15, 2,291,037.20 and 1,640,251.15

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Solution

The fourth proportional to 1,640,251.15, 2,291,037.20 and 1,640,251.15 is: 2,291,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,251.15 : 2,291,037.20 = 1,640,251.15 : x
  2. Step 2: Convert to fraction form
    1,640,251.15/2,291,037.20 = 1,640,251.15/x
  3. Step 3: Cross multiply
    1,640,251.15x = 2,291,037.20 × 1,640,251.15
  4. Step 4: Simplify right side
    1,640,251.15x = 3,757,876,401,992.78
  5. Step 5: Solve for x
    x = 3,757,876,401,992.78/1,640,251.15
  6. Step 6: Final answer
    x = 2,291,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.