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Finding the Fourth Proportional to 307,200, 423,936 and 165,888

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Solution

The fourth proportional to 307,200, 423,936 and 165,888 is: 228,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,200 : 423,936 = 165,888 : x
  2. Step 2: Convert to fraction form
    307,200/423,936 = 165,888/x
  3. Step 3: Cross multiply
    307,200x = 423,936 × 165,888
  4. Step 4: Simplify right side
    307,200x = 70,325,895,168
  5. Step 5: Solve for x
    x = 70,325,895,168/307,200
  6. Step 6: Final answer
    x = 228,925.44

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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.