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Finding the Fourth Proportional to 315,863.28, 435,891.56 and 172,623.32

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Solution

The fourth proportional to 315,863.28, 435,891.56 and 172,623.32 is: 238,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,863.28 : 435,891.56 = 172,623.32 : x
  2. Step 2: Convert to fraction form
    315,863.28/435,891.56 = 172,623.32/x
  3. Step 3: Cross multiply
    315,863.28x = 435,891.56 × 172,623.32
  4. Step 4: Simplify right side
    315,863.28x = 75,245,048,247.18
  5. Step 5: Solve for x
    x = 75,245,048,247.18/315,863.28
  6. Step 6: Final answer
    x = 238,220.31

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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.