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Finding the Fourth Proportional to 823,641.60, 1,234,879.20 and 318,007.20

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Solution

The fourth proportional to 823,641.60, 1,234,879.20 and 318,007.20 is: 476,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,641.60 : 1,234,879.20 = 318,007.20 : x
  2. Step 2: Convert to fraction form
    823,641.60/1,234,879.20 = 318,007.20/x
  3. Step 3: Cross multiply
    823,641.60x = 1,234,879.20 × 318,007.20
  4. Step 4: Simplify right side
    823,641.60x = 392,700,476,730.24
  5. Step 5: Solve for x
    x = 392,700,476,730.24/823,641.60
  6. Step 6: Final answer
    x = 476,785.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.