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Finding the Fourth Proportional to 509,901, 764,867.70 and 154,918.11

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Solution

The fourth proportional to 509,901, 764,867.70 and 154,918.11 is: 232,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,901 : 764,867.70 = 154,918.11 : x
  2. Step 2: Convert to fraction form
    509,901/764,867.70 = 154,918.11/x
  3. Step 3: Cross multiply
    509,901x = 764,867.70 × 154,918.11
  4. Step 4: Simplify right side
    509,901x = 118,491,858,484.05
  5. Step 5: Solve for x
    x = 118,491,858,484.05/509,901
  6. Step 6: Final answer
    x = 232,382.09

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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.