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Finding the Fourth Proportional to 436,815.78, 655,223.07 and 137,322.54

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Solution

The fourth proportional to 436,815.78, 655,223.07 and 137,322.54 is: 205,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,815.78 : 655,223.07 = 137,322.54 : x
  2. Step 2: Convert to fraction form
    436,815.78/655,223.07 = 137,322.54/x
  3. Step 3: Cross multiply
    436,815.78x = 655,223.07 × 137,322.54
  4. Step 4: Simplify right side
    436,815.78x = 89,976,896,239.00
  5. Step 5: Solve for x
    x = 89,976,896,239.00/436,815.78
  6. Step 6: Final answer
    x = 205,983.62

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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.