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Finding the Fourth Proportional to 456,286.25, 684,525.78 and 171,970.78

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Solution

The fourth proportional to 456,286.25, 684,525.78 and 171,970.78 is: 257,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,286.25 : 684,525.78 = 171,970.78 : x
  2. Step 2: Convert to fraction form
    456,286.25/684,525.78 = 171,970.78/x
  3. Step 3: Cross multiply
    456,286.25x = 684,525.78 × 171,970.78
  4. Step 4: Simplify right side
    456,286.25x = 117,718,431,456.86
  5. Step 5: Solve for x
    x = 117,718,431,456.86/456,286.25
  6. Step 6: Final answer
    x = 257,992.50

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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.