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Finding the Fourth Proportional to 270,821.32, 373,723.14 and 149,953

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Solution

The fourth proportional to 270,821.32, 373,723.14 and 149,953 is: 206,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,821.32 : 373,723.14 = 149,953 : x
  2. Step 2: Convert to fraction form
    270,821.32/373,723.14 = 149,953/x
  3. Step 3: Cross multiply
    270,821.32x = 373,723.14 × 149,953
  4. Step 4: Simplify right side
    270,821.32x = 56,040,906,012.42
  5. Step 5: Solve for x
    x = 56,040,906,012.42/270,821.32
  6. Step 6: Final answer
    x = 206,929.45

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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.