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Finding the Fourth Proportional to 422,764.32, 634,244.08 and 142,274.72

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Solution

The fourth proportional to 422,764.32, 634,244.08 and 142,274.72 is: 213,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.32 : 634,244.08 = 142,274.72 : x
  2. Step 2: Convert to fraction form
    422,764.32/634,244.08 = 142,274.72/x
  3. Step 3: Cross multiply
    422,764.32x = 634,244.08 × 142,274.72
  4. Step 4: Simplify right side
    422,764.32x = 90,236,898,893.66
  5. Step 5: Solve for x
    x = 90,236,898,893.66/422,764.32
  6. Step 6: Final answer
    x = 213,444.93

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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.