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Finding the Fourth Proportional to 431,173.88, 646,522.76 and 200,110.96

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Solution

The fourth proportional to 431,173.88, 646,522.76 and 200,110.96 is: 300,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,173.88 : 646,522.76 = 200,110.96 : x
  2. Step 2: Convert to fraction form
    431,173.88/646,522.76 = 200,110.96/x
  3. Step 3: Cross multiply
    431,173.88x = 646,522.76 × 200,110.96
  4. Step 4: Simplify right side
    431,173.88x = 129,376,287,837.19
  5. Step 5: Solve for x
    x = 129,376,287,837.19/431,173.88
  6. Step 6: Final answer
    x = 300,055.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.