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Finding the Fourth Proportional to 646,658.93, 892,405.42 and 360,183.80

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Solution

The fourth proportional to 646,658.93, 892,405.42 and 360,183.80 is: 497,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,658.93 : 892,405.42 = 360,183.80 : x
  2. Step 2: Convert to fraction form
    646,658.93/892,405.42 = 360,183.80/x
  3. Step 3: Cross multiply
    646,658.93x = 892,405.42 × 360,183.80
  4. Step 4: Simplify right side
    646,658.93x = 321,429,976,646.75
  5. Step 5: Solve for x
    x = 321,429,976,646.75/646,658.93
  6. Step 6: Final answer
    x = 497,062.61

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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.