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Finding the Fourth Proportional to 270,411.27, 405,330.87 and 101,858.66

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Solution

The fourth proportional to 270,411.27, 405,330.87 and 101,858.66 is: 152,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,411.27 : 405,330.87 = 101,858.66 : x
  2. Step 2: Convert to fraction form
    270,411.27/405,330.87 = 101,858.66/x
  3. Step 3: Cross multiply
    270,411.27x = 405,330.87 × 101,858.66
  4. Step 4: Simplify right side
    270,411.27x = 41,286,459,150.14
  5. Step 5: Solve for x
    x = 41,286,459,150.14/270,411.27
  6. Step 6: Final answer
    x = 152,680.25

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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.