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Finding the Fourth Proportional to 509,549.27, 764,433.86 and 154,591.88

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Solution

The fourth proportional to 509,549.27, 764,433.86 and 154,591.88 is: 231,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,549.27 : 764,433.86 = 154,591.88 : x
  2. Step 2: Convert to fraction form
    509,549.27/764,433.86 = 154,591.88/x
  3. Step 3: Cross multiply
    509,549.27x = 764,433.86 × 154,591.88
  4. Step 4: Simplify right side
    509,549.27x = 118,175,262,957.93
  5. Step 5: Solve for x
    x = 118,175,262,957.93/509,549.27
  6. Step 6: Final answer
    x = 231,921.17

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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.