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Finding the Fourth Proportional to 314,354.61, 433,796.36 and 178,385.78

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Solution

The fourth proportional to 314,354.61, 433,796.36 and 178,385.78 is: 246,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.61 : 433,796.36 = 178,385.78 : x
  2. Step 2: Convert to fraction form
    314,354.61/433,796.36 = 178,385.78/x
  3. Step 3: Cross multiply
    314,354.61x = 433,796.36 × 178,385.78
  4. Step 4: Simplify right side
    314,354.61x = 77,383,098,978.85
  5. Step 5: Solve for x
    x = 77,383,098,978.85/314,354.61
  6. Step 6: Final answer
    x = 246,164.99

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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.