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Finding the Fourth Proportional to 272,353.05, 408,742.20 and 188,700.30

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Solution

The fourth proportional to 272,353.05, 408,742.20 and 188,700.30 is: 283,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,353.05 : 408,742.20 = 188,700.30 : x
  2. Step 2: Convert to fraction form
    272,353.05/408,742.20 = 188,700.30/x
  3. Step 3: Cross multiply
    272,353.05x = 408,742.20 × 188,700.30
  4. Step 4: Simplify right side
    272,353.05x = 77,129,775,762.66
  5. Step 5: Solve for x
    x = 77,129,775,762.66/272,353.05
  6. Step 6: Final answer
    x = 283,197.77

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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.