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Finding the Fourth Proportional to 646,580.96, 892,309.38 and 360,101

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Solution

The fourth proportional to 646,580.96, 892,309.38 and 360,101 is: 496,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,580.96 : 892,309.38 = 360,101 : x
  2. Step 2: Convert to fraction form
    646,580.96/892,309.38 = 360,101/x
  3. Step 3: Cross multiply
    646,580.96x = 892,309.38 × 360,101
  4. Step 4: Simplify right side
    646,580.96x = 321,321,500,047.38
  5. Step 5: Solve for x
    x = 321,321,500,047.38/646,580.96
  6. Step 6: Final answer
    x = 496,954.78

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1.5x scale

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.