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Finding the Fourth Proportional to 342,246.60, 512,921.55 and 164,399.76

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Solution

The fourth proportional to 342,246.60, 512,921.55 and 164,399.76 is: 246,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,246.60 : 512,921.55 = 164,399.76 : x
  2. Step 2: Convert to fraction form
    342,246.60/512,921.55 = 164,399.76/x
  3. Step 3: Cross multiply
    342,246.60x = 512,921.55 × 164,399.76
  4. Step 4: Simplify right side
    342,246.60x = 84,324,179,718.83
  5. Step 5: Solve for x
    x = 84,324,179,718.83/342,246.60
  6. Step 6: Final answer
    x = 246,384.27

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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.