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Finding the Fourth Proportional to 229,119.40, 343,679.10 and 159,135.40

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Solution

The fourth proportional to 229,119.40, 343,679.10 and 159,135.40 is: 238,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,119.40 : 343,679.10 = 159,135.40 : x
  2. Step 2: Convert to fraction form
    229,119.40/343,679.10 = 159,135.40/x
  3. Step 3: Cross multiply
    229,119.40x = 343,679.10 × 159,135.40
  4. Step 4: Simplify right side
    229,119.40x = 54,691,511,050.14
  5. Step 5: Solve for x
    x = 54,691,511,050.14/229,119.40
  6. Step 6: Final answer
    x = 238,703.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.