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Finding the Fourth Proportional to 646,582.96, 892,312.14 and 360,103

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Solution

The fourth proportional to 646,582.96, 892,312.14 and 360,103 is: 496,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,582.96 : 892,312.14 = 360,103 : x
  2. Step 2: Convert to fraction form
    646,582.96/892,312.14 = 360,103/x
  3. Step 3: Cross multiply
    646,582.96x = 892,312.14 × 360,103
  4. Step 4: Simplify right side
    646,582.96x = 321,324,278,550.42
  5. Step 5: Solve for x
    x = 321,324,278,550.42/646,582.96
  6. Step 6: Final answer
    x = 496,957.54

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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.