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Finding the Fourth Proportional to 387,244.16, 580,349.44 and 206,960

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Solution

The fourth proportional to 387,244.16, 580,349.44 and 206,960 is: 310,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,244.16 : 580,349.44 = 206,960 : x
  2. Step 2: Convert to fraction form
    387,244.16/580,349.44 = 206,960/x
  3. Step 3: Cross multiply
    387,244.16x = 580,349.44 × 206,960
  4. Step 4: Simplify right side
    387,244.16x = 120,109,120,102.40
  5. Step 5: Solve for x
    x = 120,109,120,102.40/387,244.16
  6. Step 6: Final answer
    x = 310,163.80

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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.