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Finding the Fourth Proportional to 340,817.72, 511,171.14 and 160,902.78

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Solution

The fourth proportional to 340,817.72, 511,171.14 and 160,902.78 is: 241,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,817.72 : 511,171.14 = 160,902.78 : x
  2. Step 2: Convert to fraction form
    340,817.72/511,171.14 = 160,902.78/x
  3. Step 3: Cross multiply
    340,817.72x = 511,171.14 × 160,902.78
  4. Step 4: Simplify right side
    340,817.72x = 82,248,857,481.77
  5. Step 5: Solve for x
    x = 82,248,857,481.77/340,817.72
  6. Step 6: Final answer
    x = 241,328.00

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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.