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Finding the Fourth Proportional to 422,909.91, 634,154.97 and 134,683.97

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Solution

The fourth proportional to 422,909.91, 634,154.97 and 134,683.97 is: 201,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,909.91 : 634,154.97 = 134,683.97 : x
  2. Step 2: Convert to fraction form
    422,909.91/634,154.97 = 134,683.97/x
  3. Step 3: Cross multiply
    422,909.91x = 634,154.97 × 134,683.97
  4. Step 4: Simplify right side
    422,909.91x = 85,410,506,289.12
  5. Step 5: Solve for x
    x = 85,410,506,289.12/422,909.91
  6. Step 6: Final answer
    x = 201,959.10

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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.