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Finding the Fourth Proportional to 509,235.30, 764,018.79 and 242,961.39

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Solution

The fourth proportional to 509,235.30, 764,018.79 and 242,961.39 is: 364,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,235.30 : 764,018.79 = 242,961.39 : x
  2. Step 2: Convert to fraction form
    509,235.30/764,018.79 = 242,961.39/x
  3. Step 3: Cross multiply
    509,235.30x = 764,018.79 × 242,961.39
  4. Step 4: Simplify right side
    509,235.30x = 185,627,067,204.52
  5. Step 5: Solve for x
    x = 185,627,067,204.52/509,235.30
  6. Step 6: Final answer
    x = 364,521.21

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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.