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Finding the Fourth Proportional to 422,525.19, 633,344.90 and 156,115.78

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Solution

The fourth proportional to 422,525.19, 633,344.90 and 156,115.78 is: 234,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,525.19 : 633,344.90 = 156,115.78 : x
  2. Step 2: Convert to fraction form
    422,525.19/633,344.90 = 156,115.78/x
  3. Step 3: Cross multiply
    422,525.19x = 633,344.90 × 156,115.78
  4. Step 4: Simplify right side
    422,525.19x = 98,875,133,072.52
  5. Step 5: Solve for x
    x = 98,875,133,072.52/422,525.19
  6. Step 6: Final answer
    x = 234,010.03

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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.