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Finding the Fourth Proportional to 283,796.53, 391,641.86 and 156,476.65

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Solution

The fourth proportional to 283,796.53, 391,641.86 and 156,476.65 is: 215,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.53 : 391,641.86 = 156,476.65 : x
  2. Step 2: Convert to fraction form
    283,796.53/391,641.86 = 156,476.65/x
  3. Step 3: Cross multiply
    283,796.53x = 391,641.86 × 156,476.65
  4. Step 4: Simplify right side
    283,796.53x = 61,282,806,252.57
  5. Step 5: Solve for x
    x = 61,282,806,252.57/283,796.53
  6. Step 6: Final answer
    x = 215,939.24

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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.