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Finding the Fourth Proportional to 420,910.80, 631,428.48 and 154,650.57

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Solution

The fourth proportional to 420,910.80, 631,428.48 and 154,650.57 is: 231,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,910.80 : 631,428.48 = 154,650.57 : x
  2. Step 2: Convert to fraction form
    420,910.80/631,428.48 = 154,650.57/x
  3. Step 3: Cross multiply
    420,910.80x = 631,428.48 × 154,650.57
  4. Step 4: Simplify right side
    420,910.80x = 97,650,771,978.38
  5. Step 5: Solve for x
    x = 97,650,771,978.38/420,910.80
  6. Step 6: Final answer
    x = 231,998.73

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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.