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Finding the Fourth Proportional to 315,635.58, 435,570.06 and 172,396.14

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Solution

The fourth proportional to 315,635.58, 435,570.06 and 172,396.14 is: 237,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,635.58 : 435,570.06 = 172,396.14 : x
  2. Step 2: Convert to fraction form
    315,635.58/435,570.06 = 172,396.14/x
  3. Step 3: Cross multiply
    315,635.58x = 435,570.06 × 172,396.14
  4. Step 4: Simplify right side
    315,635.58x = 75,090,597,043.57
  5. Step 5: Solve for x
    x = 75,090,597,043.57/315,635.58
  6. Step 6: Final answer
    x = 237,902.83

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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.