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Finding the Fourth Proportional to 315,265.62, 435,062.94 and 172,028.06

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Solution

The fourth proportional to 315,265.62, 435,062.94 and 172,028.06 is: 237,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,265.62 : 435,062.94 = 172,028.06 : x
  2. Step 2: Convert to fraction form
    315,265.62/435,062.94 = 172,028.06/x
  3. Step 3: Cross multiply
    315,265.62x = 435,062.94 × 172,028.06
  4. Step 4: Simplify right side
    315,265.62x = 74,843,031,370.78
  5. Step 5: Solve for x
    x = 74,843,031,370.78/315,265.62
  6. Step 6: Final answer
    x = 237,396.74

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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.