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Finding the Fourth Proportional to 339,760.57, 509,643.92 and 103,103.24

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Solution

The fourth proportional to 339,760.57, 509,643.92 and 103,103.24 is: 154,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,760.57 : 509,643.92 = 103,103.24 : x
  2. Step 2: Convert to fraction form
    339,760.57/509,643.92 = 103,103.24/x
  3. Step 3: Cross multiply
    339,760.57x = 509,643.92 × 103,103.24
  4. Step 4: Simplify right side
    339,760.57x = 52,545,940,156.89
  5. Step 5: Solve for x
    x = 52,545,940,156.89/339,760.57
  6. Step 6: Final answer
    x = 154,655.79

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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.