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Finding the Fourth Proportional to 439,767, 659,617.38 and 140,235.48

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Solution

The fourth proportional to 439,767, 659,617.38 and 140,235.48 is: 210,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,767 : 659,617.38 = 140,235.48 : x
  2. Step 2: Convert to fraction form
    439,767/659,617.38 = 140,235.48/x
  3. Step 3: Cross multiply
    439,767x = 659,617.38 × 140,235.48
  4. Step 4: Simplify right side
    439,767x = 92,501,759,900.64
  5. Step 5: Solve for x
    x = 92,501,759,900.64/439,767
  6. Step 6: Final answer
    x = 210,342.66

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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.