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Finding the Fourth Proportional to 315,879.14, 435,912.16 and 172,639.14

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Solution

The fourth proportional to 315,879.14, 435,912.16 and 172,639.14 is: 238,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,879.14 : 435,912.16 = 172,639.14 : x
  2. Step 2: Convert to fraction form
    315,879.14/435,912.16 = 172,639.14/x
  3. Step 3: Cross multiply
    315,879.14x = 435,912.16 × 172,639.14
  4. Step 4: Simplify right side
    315,879.14x = 75,255,500,417.94
  5. Step 5: Solve for x
    x = 75,255,500,417.94/315,879.14
  6. Step 6: Final answer
    x = 238,241.44

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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.