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Finding the Fourth Proportional to 493,113.12, 680,472 and 289,136.64

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Solution

The fourth proportional to 493,113.12, 680,472 and 289,136.64 is: 398,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,113.12 : 680,472 = 289,136.64 : x
  2. Step 2: Convert to fraction form
    493,113.12/680,472 = 289,136.64/x
  3. Step 3: Cross multiply
    493,113.12x = 680,472 × 289,136.64
  4. Step 4: Simplify right side
    493,113.12x = 196,749,387,694.08
  5. Step 5: Solve for x
    x = 196,749,387,694.08/493,113.12
  6. Step 6: Final answer
    x = 398,994.43

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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.