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Finding the Fourth Proportional to 1,640,256.40, 2,291,044.55 and 1,640,256.40

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Solution

The fourth proportional to 1,640,256.40, 2,291,044.55 and 1,640,256.40 is: 2,291,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,256.40 : 2,291,044.55 = 1,640,256.40 : x
  2. Step 2: Convert to fraction form
    1,640,256.40/2,291,044.55 = 1,640,256.40/x
  3. Step 3: Cross multiply
    1,640,256.40x = 2,291,044.55 × 1,640,256.40
  4. Step 4: Simplify right side
    1,640,256.40x = 3,757,900,485,822.62
  5. Step 5: Solve for x
    x = 3,757,900,485,822.62/1,640,256.40
  6. Step 6: Final answer
    x = 2,291,044.55

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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.