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Finding the Fourth Proportional to 1,640,728.80, 2,291,421.60 and 1,640,728.80

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Solution

The fourth proportional to 1,640,728.80, 2,291,421.60 and 1,640,728.80 is: 2,291,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,728.80 : 2,291,421.60 = 1,640,728.80 : x
  2. Step 2: Convert to fraction form
    1,640,728.80/2,291,421.60 = 1,640,728.80/x
  3. Step 3: Cross multiply
    1,640,728.80x = 2,291,421.60 × 1,640,728.80
  4. Step 4: Simplify right side
    1,640,728.80x = 3,759,601,412,062.08
  5. Step 5: Solve for x
    x = 3,759,601,412,062.08/1,640,728.80
  6. Step 6: Final answer
    x = 2,291,421.60

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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.