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Finding the Fourth Proportional to 422,685.64, 633,733.08 and 156,411.51

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Solution

The fourth proportional to 422,685.64, 633,733.08 and 156,411.51 is: 234,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,685.64 : 633,733.08 = 156,411.51 : x
  2. Step 2: Convert to fraction form
    422,685.64/633,733.08 = 156,411.51/x
  3. Step 3: Cross multiply
    422,685.64x = 633,733.08 × 156,411.51
  4. Step 4: Simplify right side
    422,685.64x = 99,123,147,979.75
  5. Step 5: Solve for x
    x = 99,123,147,979.75/422,685.64
  6. Step 6: Final answer
    x = 234,507.96

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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.