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Finding the Fourth Proportional to 412,103.68, 618,244.32 and 127,788.52

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Solution

The fourth proportional to 412,103.68, 618,244.32 and 127,788.52 is: 191,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,103.68 : 618,244.32 = 127,788.52 : x
  2. Step 2: Convert to fraction form
    412,103.68/618,244.32 = 127,788.52/x
  3. Step 3: Cross multiply
    412,103.68x = 618,244.32 × 127,788.52
  4. Step 4: Simplify right side
    412,103.68x = 79,004,526,651.21
  5. Step 5: Solve for x
    x = 79,004,526,651.21/412,103.68
  6. Step 6: Final answer
    x = 191,710.32

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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.