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Finding the Fourth Proportional to 496,019.10, 684,475.71 and 278,215.80

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Solution

The fourth proportional to 496,019.10, 684,475.71 and 278,215.80 is: 383,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,019.10 : 684,475.71 = 278,215.80 : x
  2. Step 2: Convert to fraction form
    496,019.10/684,475.71 = 278,215.80/x
  3. Step 3: Cross multiply
    496,019.10x = 684,475.71 × 278,215.80
  4. Step 4: Simplify right side
    496,019.10x = 190,431,957,238.22
  5. Step 5: Solve for x
    x = 190,431,957,238.22/496,019.10
  6. Step 6: Final answer
    x = 383,920.61

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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.