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Finding the Fourth Proportional to 315,696.96, 435,656.34 and 172,453.32

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Solution

The fourth proportional to 315,696.96, 435,656.34 and 172,453.32 is: 237,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,696.96 : 435,656.34 = 172,453.32 : x
  2. Step 2: Convert to fraction form
    315,696.96/435,656.34 = 172,453.32/x
  3. Step 3: Cross multiply
    315,696.96x = 435,656.34 × 172,453.32
  4. Step 4: Simplify right side
    315,696.96x = 75,130,382,212.05
  5. Step 5: Solve for x
    x = 75,130,382,212.05/315,696.96
  6. Step 6: Final answer
    x = 237,982.60

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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.