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Finding the Fourth Proportional to 420,990.36, 631,491.12 and 140,507.52

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Solution

The fourth proportional to 420,990.36, 631,491.12 and 140,507.52 is: 210,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,990.36 : 631,491.12 = 140,507.52 : x
  2. Step 2: Convert to fraction form
    420,990.36/631,491.12 = 140,507.52/x
  3. Step 3: Cross multiply
    420,990.36x = 631,491.12 × 140,507.52
  4. Step 4: Simplify right side
    420,990.36x = 88,729,251,173.22
  5. Step 5: Solve for x
    x = 88,729,251,173.22/420,990.36
  6. Step 6: Final answer
    x = 210,763.14

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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.