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Finding the Fourth Proportional to 643,709.92, 888,426 and 357,321.76

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Solution

The fourth proportional to 643,709.92, 888,426 and 357,321.76 is: 493,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,709.92 : 888,426 = 357,321.76 : x
  2. Step 2: Convert to fraction form
    643,709.92/888,426 = 357,321.76/x
  3. Step 3: Cross multiply
    643,709.92x = 888,426 × 357,321.76
  4. Step 4: Simplify right side
    643,709.92x = 317,453,941,949.76
  5. Step 5: Solve for x
    x = 317,453,941,949.76/643,709.92
  6. Step 6: Final answer
    x = 493,163.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.