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Finding the Fourth Proportional to 365,126.20, 503,867.82 and 203,971

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Solution

The fourth proportional to 365,126.20, 503,867.82 and 203,971 is: 281,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,126.20 : 503,867.82 = 203,971 : x
  2. Step 2: Convert to fraction form
    365,126.20/503,867.82 = 203,971/x
  3. Step 3: Cross multiply
    365,126.20x = 503,867.82 × 203,971
  4. Step 4: Simplify right side
    365,126.20x = 102,774,423,113.22
  5. Step 5: Solve for x
    x = 102,774,423,113.22/365,126.20
  6. Step 6: Final answer
    x = 281,476.44

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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.