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Finding the Fourth Proportional to 412,103.59, 618,243.80 and 127,788.03

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Solution

The fourth proportional to 412,103.59, 618,243.80 and 127,788.03 is: 191,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,103.59 : 618,243.80 = 127,788.03 : x
  2. Step 2: Convert to fraction form
    412,103.59/618,243.80 = 127,788.03/x
  3. Step 3: Cross multiply
    412,103.59x = 618,243.80 × 127,788.03
  4. Step 4: Simplify right side
    412,103.59x = 79,004,159,073.12
  5. Step 5: Solve for x
    x = 79,004,159,073.12/412,103.59
  6. Step 6: Final answer
    x = 191,709.47

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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.