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Finding the Fourth Proportional to 272,004.73, 408,076.31 and 159,779.86

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Solution

The fourth proportional to 272,004.73, 408,076.31 and 159,779.86 is: 239,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004.73 : 408,076.31 = 159,779.86 : x
  2. Step 2: Convert to fraction form
    272,004.73/408,076.31 = 159,779.86/x
  3. Step 3: Cross multiply
    272,004.73x = 408,076.31 × 159,779.86
  4. Step 4: Simplify right side
    272,004.73x = 65,202,375,681.12
  5. Step 5: Solve for x
    x = 65,202,375,681.12/272,004.73
  6. Step 6: Final answer
    x = 239,710.45

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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.