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Finding the Fourth Proportional to 315,811.80, 435,815 and 172,568.54

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Solution

The fourth proportional to 315,811.80, 435,815 and 172,568.54 is: 238,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,811.80 : 435,815 = 172,568.54 : x
  2. Step 2: Convert to fraction form
    315,811.80/435,815 = 172,568.54/x
  3. Step 3: Cross multiply
    315,811.80x = 435,815 × 172,568.54
  4. Step 4: Simplify right side
    315,811.80x = 75,207,958,260.10
  5. Step 5: Solve for x
    x = 75,207,958,260.10/315,811.80
  6. Step 6: Final answer
    x = 238,141.70

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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.