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Finding the Fourth Proportional to 422,696.16, 634,133.76 and 156,458.88

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Solution

The fourth proportional to 422,696.16, 634,133.76 and 156,458.88 is: 234,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,696.16 : 634,133.76 = 156,458.88 : x
  2. Step 2: Convert to fraction form
    422,696.16/634,133.76 = 156,458.88/x
  3. Step 3: Cross multiply
    422,696.16x = 634,133.76 × 156,458.88
  4. Step 4: Simplify right side
    422,696.16x = 99,215,857,859.79
  5. Step 5: Solve for x
    x = 99,215,857,859.79/422,696.16
  6. Step 6: Final answer
    x = 234,721.46

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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.