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Finding the Fourth Proportional to 283,795.53, 391,640.48 and 156,475.65

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Solution

The fourth proportional to 283,795.53, 391,640.48 and 156,475.65 is: 215,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,795.53 : 391,640.48 = 156,475.65 : x
  2. Step 2: Convert to fraction form
    283,795.53/391,640.48 = 156,475.65/x
  3. Step 3: Cross multiply
    283,795.53x = 391,640.48 × 156,475.65
  4. Step 4: Simplify right side
    283,795.53x = 61,282,197,891.93
  5. Step 5: Solve for x
    x = 61,282,197,891.93/283,795.53
  6. Step 6: Final answer
    x = 215,937.85

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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.