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Finding the Fourth Proportional to 268,971.40, 403,311.30 and 111,021.40

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Solution

The fourth proportional to 268,971.40, 403,311.30 and 111,021.40 is: 166,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,971.40 : 403,311.30 = 111,021.40 : x
  2. Step 2: Convert to fraction form
    268,971.40/403,311.30 = 111,021.40/x
  3. Step 3: Cross multiply
    268,971.40x = 403,311.30 × 111,021.40
  4. Step 4: Simplify right side
    268,971.40x = 44,776,185,161.82
  5. Step 5: Solve for x
    x = 44,776,185,161.82/268,971.40
  6. Step 6: Final answer
    x = 166,471.92

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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.