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Finding the Fourth Proportional to 422,772.32, 634,256.08 and 142,282.72

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Solution

The fourth proportional to 422,772.32, 634,256.08 and 142,282.72 is: 213,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,772.32 : 634,256.08 = 142,282.72 : x
  2. Step 2: Convert to fraction form
    422,772.32/634,256.08 = 142,282.72/x
  3. Step 3: Cross multiply
    422,772.32x = 634,256.08 × 142,282.72
  4. Step 4: Simplify right side
    422,772.32x = 90,243,680,238.94
  5. Step 5: Solve for x
    x = 90,243,680,238.94/422,772.32
  6. Step 6: Final answer
    x = 213,456.93

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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.