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Finding the Fourth Proportional to 307,214, 423,955.32 and 165,902

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Solution

The fourth proportional to 307,214, 423,955.32 and 165,902 is: 228,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,214 : 423,955.32 = 165,902 : x
  2. Step 2: Convert to fraction form
    307,214/423,955.32 = 165,902/x
  3. Step 3: Cross multiply
    307,214x = 423,955.32 × 165,902
  4. Step 4: Simplify right side
    307,214x = 70,335,035,498.64
  5. Step 5: Solve for x
    x = 70,335,035,498.64/307,214
  6. Step 6: Final answer
    x = 228,944.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.