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Finding the Fourth Proportional to 509,758.97, 764,589.01 and 154,776.07

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Solution

The fourth proportional to 509,758.97, 764,589.01 and 154,776.07 is: 232,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758.97 : 764,589.01 = 154,776.07 : x
  2. Step 2: Convert to fraction form
    509,758.97/764,589.01 = 154,776.07/x
  3. Step 3: Cross multiply
    509,758.97x = 764,589.01 × 154,776.07
  4. Step 4: Simplify right side
    509,758.97x = 118,340,077,536.17
  5. Step 5: Solve for x
    x = 118,340,077,536.17/509,758.97
  6. Step 6: Final answer
    x = 232,149.08

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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.