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Finding the Fourth Proportional to 509,063.70, 763,761.63 and 242,789.61

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Solution

The fourth proportional to 509,063.70, 763,761.63 and 242,789.61 is: 364,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,063.70 : 763,761.63 = 242,789.61 : x
  2. Step 2: Convert to fraction form
    509,063.70/763,761.63 = 242,789.61/x
  3. Step 3: Cross multiply
    509,063.70x = 763,761.63 × 242,789.61
  4. Step 4: Simplify right side
    509,063.70x = 185,433,388,280.66
  5. Step 5: Solve for x
    x = 185,433,388,280.66/509,063.70
  6. Step 6: Final answer
    x = 364,263.62

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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.