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Finding the Fourth Proportional to 412,920.41, 619,379.44 and 113,401.28

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Solution

The fourth proportional to 412,920.41, 619,379.44 and 113,401.28 is: 170,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920.41 : 619,379.44 = 113,401.28 : x
  2. Step 2: Convert to fraction form
    412,920.41/619,379.44 = 113,401.28/x
  3. Step 3: Cross multiply
    412,920.41x = 619,379.44 × 113,401.28
  4. Step 4: Simplify right side
    412,920.41x = 70,238,421,405.29
  5. Step 5: Solve for x
    x = 70,238,421,405.29/412,920.41
  6. Step 6: Final answer
    x = 170,101.60

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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.