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Finding the Fourth Proportional to 315,375.75, 435,218.37 and 172,135.77

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Solution

The fourth proportional to 315,375.75, 435,218.37 and 172,135.77 is: 237,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,375.75 : 435,218.37 = 172,135.77 : x
  2. Step 2: Convert to fraction form
    315,375.75/435,218.37 = 172,135.77/x
  3. Step 3: Cross multiply
    315,375.75x = 435,218.37 × 172,135.77
  4. Step 4: Simplify right side
    315,375.75x = 74,916,649,238.09
  5. Step 5: Solve for x
    x = 74,916,649,238.09/315,375.75
  6. Step 6: Final answer
    x = 237,547.27

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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.