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Finding the Fourth Proportional to 340,896.78, 511,345.20 and 104,239.46

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Solution

The fourth proportional to 340,896.78, 511,345.20 and 104,239.46 is: 156,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,896.78 : 511,345.20 = 104,239.46 : x
  2. Step 2: Convert to fraction form
    340,896.78/511,345.20 = 104,239.46/x
  3. Step 3: Cross multiply
    340,896.78x = 511,345.20 × 104,239.46
  4. Step 4: Simplify right side
    340,896.78x = 53,302,347,521.59
  5. Step 5: Solve for x
    x = 53,302,347,521.59/340,896.78
  6. Step 6: Final answer
    x = 156,359.20

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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.