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Finding the Fourth Proportional to 315,808.44, 435,816.78 and 172,568.48

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Solution

The fourth proportional to 315,808.44, 435,816.78 and 172,568.48 is: 238,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,808.44 : 435,816.78 = 172,568.48 : x
  2. Step 2: Convert to fraction form
    315,808.44/435,816.78 = 172,568.48/x
  3. Step 3: Cross multiply
    315,808.44x = 435,816.78 × 172,568.48
  4. Step 4: Simplify right side
    315,808.44x = 75,208,239,283.09
  5. Step 5: Solve for x
    x = 75,208,239,283.09/315,808.44
  6. Step 6: Final answer
    x = 238,145.12

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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.