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Finding the Fourth Proportional to 259,322.18, 388,716.44 and 99,354.65

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Solution

The fourth proportional to 259,322.18, 388,716.44 and 99,354.65 is: 148,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322.18 : 388,716.44 = 99,354.65 : x
  2. Step 2: Convert to fraction form
    259,322.18/388,716.44 = 99,354.65/x
  3. Step 3: Cross multiply
    259,322.18x = 388,716.44 × 99,354.65
  4. Step 4: Simplify right side
    259,322.18x = 38,620,783,405.09
  5. Step 5: Solve for x
    x = 38,620,783,405.09/259,322.18
  6. Step 6: Final answer
    x = 148,929.74

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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.