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Finding the Fourth Proportional to 646,581.96, 892,310.76 and 360,102

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Solution

The fourth proportional to 646,581.96, 892,310.76 and 360,102 is: 496,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,581.96 : 892,310.76 = 360,102 : x
  2. Step 2: Convert to fraction form
    646,581.96/892,310.76 = 360,102/x
  3. Step 3: Cross multiply
    646,581.96x = 892,310.76 × 360,102
  4. Step 4: Simplify right side
    646,581.96x = 321,322,889,297.52
  5. Step 5: Solve for x
    x = 321,322,889,297.52/646,581.96
  6. Step 6: Final answer
    x = 496,956.16

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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.