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Finding the Fourth Proportional to 439,938, 659,907 and 159,455.52

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Solution

The fourth proportional to 439,938, 659,907 and 159,455.52 is: 239,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,938 : 659,907 = 159,455.52 : x
  2. Step 2: Convert to fraction form
    439,938/659,907 = 159,455.52/x
  3. Step 3: Cross multiply
    439,938x = 659,907 × 159,455.52
  4. Step 4: Simplify right side
    439,938x = 105,225,813,836.64
  5. Step 5: Solve for x
    x = 105,225,813,836.64/439,938
  6. Step 6: Final answer
    x = 239,183.28

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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.