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Finding the Fourth Proportional to 421,399.74, 631,967.85 and 140,851.38

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Solution

The fourth proportional to 421,399.74, 631,967.85 and 140,851.38 is: 211,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,399.74 : 631,967.85 = 140,851.38 : x
  2. Step 2: Convert to fraction form
    421,399.74/631,967.85 = 140,851.38/x
  3. Step 3: Cross multiply
    421,399.74x = 631,967.85 × 140,851.38
  4. Step 4: Simplify right side
    421,399.74x = 89,013,543,788.13
  5. Step 5: Solve for x
    x = 89,013,543,788.13/421,399.74
  6. Step 6: Final answer
    x = 211,233.03

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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.