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Finding the Fourth Proportional to 496,167, 684,689.78 and 281,321.58

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Solution

The fourth proportional to 496,167, 684,689.78 and 281,321.58 is: 388,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,167 : 684,689.78 = 281,321.58 : x
  2. Step 2: Convert to fraction form
    496,167/684,689.78 = 281,321.58/x
  3. Step 3: Cross multiply
    496,167x = 684,689.78 × 281,321.58
  4. Step 4: Simplify right side
    496,167x = 192,618,010,719.45
  5. Step 5: Solve for x
    x = 192,618,010,719.45/496,167
  6. Step 6: Final answer
    x = 388,212.06

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1.5x scale

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.