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Finding the Fourth Proportional to 422,678.44, 634,088.94 and 142,129

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Solution

The fourth proportional to 422,678.44, 634,088.94 and 142,129 is: 213,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,678.44 : 634,088.94 = 142,129 : x
  2. Step 2: Convert to fraction form
    422,678.44/634,088.94 = 142,129/x
  3. Step 3: Cross multiply
    422,678.44x = 634,088.94 × 142,129
  4. Step 4: Simplify right side
    422,678.44x = 90,122,426,953.26
  5. Step 5: Solve for x
    x = 90,122,426,953.26/422,678.44
  6. Step 6: Final answer
    x = 213,217.47

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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.