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Finding the Fourth Proportional to 289,639.31, 433,893.33 and 137,620.04

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Solution

The fourth proportional to 289,639.31, 433,893.33 and 137,620.04 is: 206,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,639.31 : 433,893.33 = 137,620.04 : x
  2. Step 2: Convert to fraction form
    289,639.31/433,893.33 = 137,620.04/x
  3. Step 3: Cross multiply
    289,639.31x = 433,893.33 × 137,620.04
  4. Step 4: Simplify right side
    289,639.31x = 59,712,415,260.87
  5. Step 5: Solve for x
    x = 59,712,415,260.87/289,639.31
  6. Step 6: Final answer
    x = 206,161.30

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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.