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Finding the Fourth Proportional to 270,294.78, 373,014.58 and 149,443.86

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Solution

The fourth proportional to 270,294.78, 373,014.58 and 149,443.86 is: 206,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,294.78 : 373,014.58 = 149,443.86 : x
  2. Step 2: Convert to fraction form
    270,294.78/373,014.58 = 149,443.86/x
  3. Step 3: Cross multiply
    270,294.78x = 373,014.58 × 149,443.86
  4. Step 4: Simplify right side
    270,294.78x = 55,744,739,696.67
  5. Step 5: Solve for x
    x = 55,744,739,696.67/270,294.78
  6. Step 6: Final answer
    x = 206,236.84

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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.