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Finding the Fourth Proportional to 387,208.95, 580,587.89 and 150,274.86

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Solution

The fourth proportional to 387,208.95, 580,587.89 and 150,274.86 is: 225,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,208.95 : 580,587.89 = 150,274.86 : x
  2. Step 2: Convert to fraction form
    387,208.95/580,587.89 = 150,274.86/x
  3. Step 3: Cross multiply
    387,208.95x = 580,587.89 × 150,274.86
  4. Step 4: Simplify right side
    387,208.95x = 87,247,763,136.07
  5. Step 5: Solve for x
    x = 87,247,763,136.07/387,208.95
  6. Step 6: Final answer
    x = 225,324.76

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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.