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Finding the Fourth Proportional to 439,907.14, 659,872.16 and 140,387.32

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Solution

The fourth proportional to 439,907.14, 659,872.16 and 140,387.32 is: 210,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,907.14 : 659,872.16 = 140,387.32 : x
  2. Step 2: Convert to fraction form
    439,907.14/659,872.16 = 140,387.32/x
  3. Step 3: Cross multiply
    439,907.14x = 659,872.16 × 140,387.32
  4. Step 4: Simplify right side
    439,907.14x = 92,637,684,085.01
  5. Step 5: Solve for x
    x = 92,637,684,085.01/439,907.14
  6. Step 6: Final answer
    x = 210,584.63

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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.