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Finding the Fourth Proportional to 422,368.80, 633,487.16 and 138,057.20

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Solution

The fourth proportional to 422,368.80, 633,487.16 and 138,057.20 is: 207,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,368.80 : 633,487.16 = 138,057.20 : x
  2. Step 2: Convert to fraction form
    422,368.80/633,487.16 = 138,057.20/x
  3. Step 3: Cross multiply
    422,368.80x = 633,487.16 × 138,057.20
  4. Step 4: Simplify right side
    422,368.80x = 87,457,463,545.55
  5. Step 5: Solve for x
    x = 87,457,463,545.55/422,368.80
  6. Step 6: Final answer
    x = 207,064.21

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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.