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Finding the Fourth Proportional to 493,246.91, 680,635.62 and 289,260.32

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Solution

The fourth proportional to 493,246.91, 680,635.62 and 289,260.32 is: 399,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,246.91 : 680,635.62 = 289,260.32 : x
  2. Step 2: Convert to fraction form
    493,246.91/680,635.62 = 289,260.32/x
  3. Step 3: Cross multiply
    493,246.91x = 680,635.62 × 289,260.32
  4. Step 4: Simplify right side
    493,246.91x = 196,880,873,841.42
  5. Step 5: Solve for x
    x = 196,880,873,841.42/493,246.91
  6. Step 6: Final answer
    x = 399,152.78

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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.