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Finding the Fourth Proportional to 509,065.70, 763,764.63 and 242,791.61

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Solution

The fourth proportional to 509,065.70, 763,764.63 and 242,791.61 is: 364,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,065.70 : 763,764.63 = 242,791.61 : x
  2. Step 2: Convert to fraction form
    509,065.70/763,764.63 = 242,791.61/x
  3. Step 3: Cross multiply
    509,065.70x = 763,764.63 × 242,791.61
  4. Step 4: Simplify right side
    509,065.70x = 185,435,644,178.75
  5. Step 5: Solve for x
    x = 185,435,644,178.75/509,065.70
  6. Step 6: Final answer
    x = 364,266.62

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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.