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Finding the Fourth Proportional to 646,522.16, 892,209.32 and 360,049.46

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Solution

The fourth proportional to 646,522.16, 892,209.32 and 360,049.46 is: 496,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,522.16 : 892,209.32 = 360,049.46 : x
  2. Step 2: Convert to fraction form
    646,522.16/892,209.32 = 360,049.46/x
  3. Step 3: Cross multiply
    646,522.16x = 892,209.32 × 360,049.46
  4. Step 4: Simplify right side
    646,522.16x = 321,239,483,872.97
  5. Step 5: Solve for x
    x = 321,239,483,872.97/646,522.16
  6. Step 6: Final answer
    x = 496,873.12

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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.