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Finding the Fourth Proportional to 509,439, 764,275.14 and 177,015

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Solution

The fourth proportional to 509,439, 764,275.14 and 177,015 is: 265,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,439 : 764,275.14 = 177,015 : x
  2. Step 2: Convert to fraction form
    509,439/764,275.14 = 177,015/x
  3. Step 3: Cross multiply
    509,439x = 764,275.14 × 177,015
  4. Step 4: Simplify right side
    509,439x = 135,288,163,907.10
  5. Step 5: Solve for x
    x = 135,288,163,907.10/509,439
  6. Step 6: Final answer
    x = 265,563.03

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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.