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Finding the Fourth Proportional to 315,272.56, 435,076.10 and 202,095.30

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Solution

The fourth proportional to 315,272.56, 435,076.10 and 202,095.30 is: 278,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272.56 : 435,076.10 = 202,095.30 : x
  2. Step 2: Convert to fraction form
    315,272.56/435,076.10 = 202,095.30/x
  3. Step 3: Cross multiply
    315,272.56x = 435,076.10 × 202,095.30
  4. Step 4: Simplify right side
    315,272.56x = 87,926,834,952.33
  5. Step 5: Solve for x
    x = 87,926,834,952.33/315,272.56
  6. Step 6: Final answer
    x = 278,891.49

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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.