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Finding the Fourth Proportional to 423,893.76, 635,425.92 and 202,433.28

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Solution

The fourth proportional to 423,893.76, 635,425.92 and 202,433.28 is: 303,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,893.76 : 635,425.92 = 202,433.28 : x
  2. Step 2: Convert to fraction form
    423,893.76/635,425.92 = 202,433.28/x
  3. Step 3: Cross multiply
    423,893.76x = 635,425.92 × 202,433.28
  4. Step 4: Simplify right side
    423,893.76x = 128,631,353,182.62
  5. Step 5: Solve for x
    x = 128,631,353,182.62/423,893.76
  6. Step 6: Final answer
    x = 303,451.87

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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.