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Finding the Fourth Proportional to 342,247.60, 512,923.05 and 164,400.76

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Solution

The fourth proportional to 342,247.60, 512,923.05 and 164,400.76 is: 246,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,247.60 : 512,923.05 = 164,400.76 : x
  2. Step 2: Convert to fraction form
    342,247.60/512,923.05 = 164,400.76/x
  3. Step 3: Cross multiply
    342,247.60x = 512,923.05 × 164,400.76
  4. Step 4: Simplify right side
    342,247.60x = 84,324,939,241.52
  5. Step 5: Solve for x
    x = 84,324,939,241.52/342,247.60
  6. Step 6: Final answer
    x = 246,385.77

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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.