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Finding the Fourth Proportional to 1,296,396.40, 1,944,581.80 and 409,932.40

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Solution

The fourth proportional to 1,296,396.40, 1,944,581.80 and 409,932.40 is: 614,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,396.40 : 1,944,581.80 = 409,932.40 : x
  2. Step 2: Convert to fraction form
    1,296,396.40/1,944,581.80 = 409,932.40/x
  3. Step 3: Cross multiply
    1,296,396.40x = 1,944,581.80 × 409,932.40
  4. Step 4: Simplify right side
    1,296,396.40x = 797,147,084,270.32
  5. Step 5: Solve for x
    x = 797,147,084,270.32/1,296,396.40
  6. Step 6: Final answer
    x = 614,894.55

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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.