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Finding the Fourth Proportional to 509,758.86, 764,588.82 and 154,775.96

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Solution

The fourth proportional to 509,758.86, 764,588.82 and 154,775.96 is: 232,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758.86 : 764,588.82 = 154,775.96 : x
  2. Step 2: Convert to fraction form
    509,758.86/764,588.82 = 154,775.96/x
  3. Step 3: Cross multiply
    509,758.86x = 764,588.82 × 154,775.96
  4. Step 4: Simplify right side
    509,758.86x = 118,339,964,797.82
  5. Step 5: Solve for x
    x = 118,339,964,797.82/509,758.86
  6. Step 6: Final answer
    x = 232,148.91

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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.