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Finding the Fourth Proportional to 340,898.78, 511,348.20 and 104,241.46

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Solution

The fourth proportional to 340,898.78, 511,348.20 and 104,241.46 is: 156,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,898.78 : 511,348.20 = 104,241.46 : x
  2. Step 2: Convert to fraction form
    340,898.78/511,348.20 = 104,241.46/x
  3. Step 3: Cross multiply
    340,898.78x = 511,348.20 × 104,241.46
  4. Step 4: Simplify right side
    340,898.78x = 53,303,682,936.37
  5. Step 5: Solve for x
    x = 53,303,682,936.37/340,898.78
  6. Step 6: Final answer
    x = 156,362.20

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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.