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Finding the Fourth Proportional to 343,076.42, 514,664.24 and 129,786.48

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Solution

The fourth proportional to 343,076.42, 514,664.24 and 129,786.48 is: 194,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,076.42 : 514,664.24 = 129,786.48 : x
  2. Step 2: Convert to fraction form
    343,076.42/514,664.24 = 129,786.48/x
  3. Step 3: Cross multiply
    343,076.42x = 514,664.24 × 129,786.48
  4. Step 4: Simplify right side
    343,076.42x = 66,796,459,442.54
  5. Step 5: Solve for x
    x = 66,796,459,442.54/343,076.42
  6. Step 6: Final answer
    x = 194,698.49

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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.