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Finding the Fourth Proportional to 342,269.36, 512,976 and 164,728.88

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Solution

The fourth proportional to 342,269.36, 512,976 and 164,728.88 is: 246,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,269.36 : 512,976 = 164,728.88 : x
  2. Step 2: Convert to fraction form
    342,269.36/512,976 = 164,728.88/x
  3. Step 3: Cross multiply
    342,269.36x = 512,976 × 164,728.88
  4. Step 4: Simplify right side
    342,269.36x = 84,501,961,946.88
  5. Step 5: Solve for x
    x = 84,501,961,946.88/342,269.36
  6. Step 6: Final answer
    x = 246,887.31

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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.