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Finding the Fourth Proportional to 270,905.18, 406,384.65 and 100,171.67

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Solution

The fourth proportional to 270,905.18, 406,384.65 and 100,171.67 is: 150,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,905.18 : 406,384.65 = 100,171.67 : x
  2. Step 2: Convert to fraction form
    270,905.18/406,384.65 = 100,171.67/x
  3. Step 3: Cross multiply
    270,905.18x = 406,384.65 × 100,171.67
  4. Step 4: Simplify right side
    270,905.18x = 40,708,227,020.94
  5. Step 5: Solve for x
    x = 40,708,227,020.94/270,905.18
  6. Step 6: Final answer
    x = 150,267.44

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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.