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Finding the Fourth Proportional to 422,208.57, 633,645.69 and 156,045.20

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Solution

The fourth proportional to 422,208.57, 633,645.69 and 156,045.20 is: 234,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,208.57 : 633,645.69 = 156,045.20 : x
  2. Step 2: Convert to fraction form
    422,208.57/633,645.69 = 156,045.20/x
  3. Step 3: Cross multiply
    422,208.57x = 633,645.69 × 156,045.20
  4. Step 4: Simplify right side
    422,208.57x = 98,877,368,425.19
  5. Step 5: Solve for x
    x = 98,877,368,425.19/422,208.57
  6. Step 6: Final answer
    x = 234,190.81

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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.