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Finding the Fourth Proportional to 509,969.10, 764,953.65 and 454,856.70

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Solution

The fourth proportional to 509,969.10, 764,953.65 and 454,856.70 is: 682,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,969.10 : 764,953.65 = 454,856.70 : x
  2. Step 2: Convert to fraction form
    509,969.10/764,953.65 = 454,856.70/x
  3. Step 3: Cross multiply
    509,969.10x = 764,953.65 × 454,856.70
  4. Step 4: Simplify right side
    509,969.10x = 347,944,292,891.96
  5. Step 5: Solve for x
    x = 347,944,292,891.96/509,969.10
  6. Step 6: Final answer
    x = 682,285.05

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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.