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Finding the Fourth Proportional to 496,643.08, 685,439.68 and 278,876.20

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Solution

The fourth proportional to 496,643.08, 685,439.68 and 278,876.20 is: 384,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,643.08 : 685,439.68 = 278,876.20 : x
  2. Step 2: Convert to fraction form
    496,643.08/685,439.68 = 278,876.20/x
  3. Step 3: Cross multiply
    496,643.08x = 685,439.68 × 278,876.20
  4. Step 4: Simplify right side
    496,643.08x = 191,152,813,287.62
  5. Step 5: Solve for x
    x = 191,152,813,287.62/496,643.08
  6. Step 6: Final answer
    x = 384,889.71

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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.