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Finding the Fourth Proportional to 378,059.49, 521,978.45 and 264,685.41

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Solution

The fourth proportional to 378,059.49, 521,978.45 and 264,685.41 is: 365,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.49 : 521,978.45 = 264,685.41 : x
  2. Step 2: Convert to fraction form
    378,059.49/521,978.45 = 264,685.41/x
  3. Step 3: Cross multiply
    378,059.49x = 521,978.45 × 264,685.41
  4. Step 4: Simplify right side
    378,059.49x = 138,160,078,725.99
  5. Step 5: Solve for x
    x = 138,160,078,725.99/378,059.49
  6. Step 6: Final answer
    x = 365,445.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.