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Finding the Fourth Proportional to 381,081.47, 525,854.52 and 219,988.40

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Solution

The fourth proportional to 381,081.47, 525,854.52 and 219,988.40 is: 303,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.47 : 525,854.52 = 219,988.40 : x
  2. Step 2: Convert to fraction form
    381,081.47/525,854.52 = 219,988.40/x
  3. Step 3: Cross multiply
    381,081.47x = 525,854.52 × 219,988.40
  4. Step 4: Simplify right side
    381,081.47x = 115,681,891,858.30
  5. Step 5: Solve for x
    x = 115,681,891,858.30/381,081.47
  6. Step 6: Final answer
    x = 303,562.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.