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Finding the Fourth Proportional to 412,895.68, 619,917 and 213,363.52

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Solution

The fourth proportional to 412,895.68, 619,917 and 213,363.52 is: 320,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,895.68 : 619,917 = 213,363.52 : x
  2. Step 2: Convert to fraction form
    412,895.68/619,917 = 213,363.52/x
  3. Step 3: Cross multiply
    412,895.68x = 619,917 × 213,363.52
  4. Step 4: Simplify right side
    412,895.68x = 132,267,673,227.84
  5. Step 5: Solve for x
    x = 132,267,673,227.84/412,895.68
  6. Step 6: Final answer
    x = 320,341.63

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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.