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Finding the Fourth Proportional to 412,954.38, 619,424.25 and 113,433.78

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Solution

The fourth proportional to 412,954.38, 619,424.25 and 113,433.78 is: 170,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,954.38 : 619,424.25 = 113,433.78 : x
  2. Step 2: Convert to fraction form
    412,954.38/619,424.25 = 113,433.78/x
  3. Step 3: Cross multiply
    412,954.38x = 619,424.25 × 113,433.78
  4. Step 4: Simplify right side
    412,954.38x = 70,263,634,101.17
  5. Step 5: Solve for x
    x = 70,263,634,101.17/412,954.38
  6. Step 6: Final answer
    x = 170,148.66

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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.