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Finding the Fourth Proportional to 439,768, 659,618.88 and 140,236.48

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Solution

The fourth proportional to 439,768, 659,618.88 and 140,236.48 is: 210,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,768 : 659,618.88 = 140,236.48 : x
  2. Step 2: Convert to fraction form
    439,768/659,618.88 = 140,236.48/x
  3. Step 3: Cross multiply
    439,768x = 659,618.88 × 140,236.48
  4. Step 4: Simplify right side
    439,768x = 92,502,629,872.74
  5. Step 5: Solve for x
    x = 92,502,629,872.74/439,768
  6. Step 6: Final answer
    x = 210,344.16

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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.