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Finding the Fourth Proportional to 509,908.20, 764,862.30 and 421,261.80

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Solution

The fourth proportional to 509,908.20, 764,862.30 and 421,261.80 is: 631,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,908.20 : 764,862.30 = 421,261.80 : x
  2. Step 2: Convert to fraction form
    509,908.20/764,862.30 = 421,261.80/x
  3. Step 3: Cross multiply
    509,908.20x = 764,862.30 × 421,261.80
  4. Step 4: Simplify right side
    509,908.20x = 322,207,269,250.14
  5. Step 5: Solve for x
    x = 322,207,269,250.14/509,908.20
  6. Step 6: Final answer
    x = 631,892.70

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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.