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Finding the Fourth Proportional to 378,051.30, 567,076.95 and 343,059.30

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Solution

The fourth proportional to 378,051.30, 567,076.95 and 343,059.30 is: 514,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.30 : 567,076.95 = 343,059.30 : x
  2. Step 2: Convert to fraction form
    378,051.30/567,076.95 = 343,059.30/x
  3. Step 3: Cross multiply
    378,051.30x = 567,076.95 × 343,059.30
  4. Step 4: Simplify right side
    378,051.30x = 194,541,021,513.14
  5. Step 5: Solve for x
    x = 194,541,021,513.14/378,051.30
  6. Step 6: Final answer
    x = 514,588.95

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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.