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Finding the Fourth Proportional to 318,863.82, 478,363.19 and 105,619.66

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Solution

The fourth proportional to 318,863.82, 478,363.19 and 105,619.66 is: 158,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,863.82 : 478,363.19 = 105,619.66 : x
  2. Step 2: Convert to fraction form
    318,863.82/478,363.19 = 105,619.66/x
  3. Step 3: Cross multiply
    318,863.82x = 478,363.19 × 105,619.66
  4. Step 4: Simplify right side
    318,863.82x = 50,524,556,552.46
  5. Step 5: Solve for x
    x = 50,524,556,552.46/318,863.82
  6. Step 6: Final answer
    x = 158,451.83

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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.