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Finding the Fourth Proportional to 509,850, 764,775 and 242,800.92

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Solution

The fourth proportional to 509,850, 764,775 and 242,800.92 is: 364,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,850 : 764,775 = 242,800.92 : x
  2. Step 2: Convert to fraction form
    509,850/764,775 = 242,800.92/x
  3. Step 3: Cross multiply
    509,850x = 764,775 × 242,800.92
  4. Step 4: Simplify right side
    509,850x = 185,688,073,593
  5. Step 5: Solve for x
    x = 185,688,073,593/509,850
  6. Step 6: Final answer
    x = 364,201.38

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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.