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Finding the Fourth Proportional to 388,482.09, 582,451.71 and 172,223.19

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Solution

The fourth proportional to 388,482.09, 582,451.71 and 172,223.19 is: 258,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,482.09 : 582,451.71 = 172,223.19 : x
  2. Step 2: Convert to fraction form
    388,482.09/582,451.71 = 172,223.19/x
  3. Step 3: Cross multiply
    388,482.09x = 582,451.71 × 172,223.19
  4. Step 4: Simplify right side
    388,482.09x = 100,311,691,517.16
  5. Step 5: Solve for x
    x = 100,311,691,517.16/388,482.09
  6. Step 6: Final answer
    x = 258,214.46

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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.