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Finding the Fourth Proportional to 493,258.21, 680,699.50 and 289,267.61

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Solution

The fourth proportional to 493,258.21, 680,699.50 and 289,267.61 is: 399,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,258.21 : 680,699.50 = 289,267.61 : x
  2. Step 2: Convert to fraction form
    493,258.21/680,699.50 = 289,267.61/x
  3. Step 3: Cross multiply
    493,258.21x = 680,699.50 × 289,267.61
  4. Step 4: Simplify right side
    493,258.21x = 196,904,313,366.53
  5. Step 5: Solve for x
    x = 196,904,313,366.53/493,258.21
  6. Step 6: Final answer
    x = 399,191.15

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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.