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Finding the Fourth Proportional to 391,768.52, 586,865.43 and 204,386.36

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Solution

The fourth proportional to 391,768.52, 586,865.43 and 204,386.36 is: 306,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,768.52 : 586,865.43 = 204,386.36 : x
  2. Step 2: Convert to fraction form
    391,768.52/586,865.43 = 204,386.36/x
  3. Step 3: Cross multiply
    391,768.52x = 586,865.43 × 204,386.36
  4. Step 4: Simplify right side
    391,768.52x = 119,947,286,113.21
  5. Step 5: Solve for x
    x = 119,947,286,113.21/391,768.52
  6. Step 6: Final answer
    x = 306,168.77

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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.