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Finding the Fourth Proportional to 509,334.32, 764,080.60 and 154,263.80

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Solution

The fourth proportional to 509,334.32, 764,080.60 and 154,263.80 is: 231,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,334.32 : 764,080.60 = 154,263.80 : x
  2. Step 2: Convert to fraction form
    509,334.32/764,080.60 = 154,263.80/x
  3. Step 3: Cross multiply
    509,334.32x = 764,080.60 × 154,263.80
  4. Step 4: Simplify right side
    509,334.32x = 117,869,976,862.28
  5. Step 5: Solve for x
    x = 117,869,976,862.28/509,334.32
  6. Step 6: Final answer
    x = 231,419.66

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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.