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Finding the Fourth Proportional to 307,216, 423,958.08 and 165,904

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Solution

The fourth proportional to 307,216, 423,958.08 and 165,904 is: 228,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,216 : 423,958.08 = 165,904 : x
  2. Step 2: Convert to fraction form
    307,216/423,958.08 = 165,904/x
  3. Step 3: Cross multiply
    307,216x = 423,958.08 × 165,904
  4. Step 4: Simplify right side
    307,216x = 70,336,341,304.32
  5. Step 5: Solve for x
    x = 70,336,341,304.32/307,216
  6. Step 6: Final answer
    x = 228,947.52

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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.