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Finding the Fourth Proportional to 272,298.42, 408,447.81 and 85,324.50

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Solution

The fourth proportional to 272,298.42, 408,447.81 and 85,324.50 is: 127,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,298.42 : 408,447.81 = 85,324.50 : x
  2. Step 2: Convert to fraction form
    272,298.42/408,447.81 = 85,324.50/x
  3. Step 3: Cross multiply
    272,298.42x = 408,447.81 × 85,324.50
  4. Step 4: Simplify right side
    272,298.42x = 34,850,605,164.35
  5. Step 5: Solve for x
    x = 34,850,605,164.35/272,298.42
  6. Step 6: Final answer
    x = 127,986.81

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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.