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Finding the Fourth Proportional to 325,168.78, 487,766.14 and 100,509.20

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Solution

The fourth proportional to 325,168.78, 487,766.14 and 100,509.20 is: 150,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,168.78 : 487,766.14 = 100,509.20 : x
  2. Step 2: Convert to fraction form
    325,168.78/487,766.14 = 100,509.20/x
  3. Step 3: Cross multiply
    325,168.78x = 487,766.14 × 100,509.20
  4. Step 4: Simplify right side
    325,168.78x = 49,024,984,518.49
  5. Step 5: Solve for x
    x = 49,024,984,518.49/325,168.78
  6. Step 6: Final answer
    x = 150,767.81

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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.