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Finding the Fourth Proportional to 469,162.92, 647,429.04 and 278,062.86

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Solution

The fourth proportional to 469,162.92, 647,429.04 and 278,062.86 is: 383,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,162.92 : 647,429.04 = 278,062.86 : x
  2. Step 2: Convert to fraction form
    469,162.92/647,429.04 = 278,062.86/x
  3. Step 3: Cross multiply
    469,162.92x = 647,429.04 × 278,062.86
  4. Step 4: Simplify right side
    469,162.92x = 180,025,970,509.45
  5. Step 5: Solve for x
    x = 180,025,970,509.45/469,162.92
  6. Step 6: Final answer
    x = 383,717.39

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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.