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Finding the Fourth Proportional to 797,728.86, 1,196,280.86 and 278,272.80

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Solution

The fourth proportional to 797,728.86, 1,196,280.86 and 278,272.80 is: 417,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,728.86 : 1,196,280.86 = 278,272.80 : x
  2. Step 2: Convert to fraction form
    797,728.86/1,196,280.86 = 278,272.80/x
  3. Step 3: Cross multiply
    797,728.86x = 1,196,280.86 × 278,272.80
  4. Step 4: Simplify right side
    797,728.86x = 332,892,423,107.24
  5. Step 5: Solve for x
    x = 332,892,423,107.24/797,728.86
  6. Step 6: Final answer
    x = 417,300.21

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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.