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Finding the Fourth Proportional to 270,337.50, 405,564.21 and 80,812.71

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Solution

The fourth proportional to 270,337.50, 405,564.21 and 80,812.71 is: 121,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,337.50 : 405,564.21 = 80,812.71 : x
  2. Step 2: Convert to fraction form
    270,337.50/405,564.21 = 80,812.71/x
  3. Step 3: Cross multiply
    270,337.50x = 405,564.21 × 80,812.71
  4. Step 4: Simplify right side
    270,337.50x = 32,774,742,889.11
  5. Step 5: Solve for x
    x = 32,774,742,889.11/270,337.50
  6. Step 6: Final answer
    x = 121,236.39

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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.