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Finding the Fourth Proportional to 422,561.81, 634,091.90 and 156,509.21

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Solution

The fourth proportional to 422,561.81, 634,091.90 and 156,509.21 is: 234,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,561.81 : 634,091.90 = 156,509.21 : x
  2. Step 2: Convert to fraction form
    422,561.81/634,091.90 = 156,509.21/x
  3. Step 3: Cross multiply
    422,561.81x = 634,091.90 × 156,509.21
  4. Step 4: Simplify right side
    422,561.81x = 99,241,223,139.08
  5. Step 5: Solve for x
    x = 99,241,223,139.08/422,561.81
  6. Step 6: Final answer
    x = 234,856.11

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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.