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Finding the Fourth Proportional to 428,273.78, 642,415.12 and 172,224.84

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Solution

The fourth proportional to 428,273.78, 642,415.12 and 172,224.84 is: 258,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,273.78 : 642,415.12 = 172,224.84 : x
  2. Step 2: Convert to fraction form
    428,273.78/642,415.12 = 172,224.84/x
  3. Step 3: Cross multiply
    428,273.78x = 642,415.12 × 172,224.84
  4. Step 4: Simplify right side
    428,273.78x = 110,639,841,255.58
  5. Step 5: Solve for x
    x = 110,639,841,255.58/428,273.78
  6. Step 6: Final answer
    x = 258,339.05

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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.