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Finding the Fourth Proportional to 268,972.40, 403,312.80 and 111,022.40

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Solution

The fourth proportional to 268,972.40, 403,312.80 and 111,022.40 is: 166,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,972.40 : 403,312.80 = 111,022.40 : x
  2. Step 2: Convert to fraction form
    268,972.40/403,312.80 = 111,022.40/x
  3. Step 3: Cross multiply
    268,972.40x = 403,312.80 × 111,022.40
  4. Step 4: Simplify right side
    268,972.40x = 44,776,755,006.72
  5. Step 5: Solve for x
    x = 44,776,755,006.72/268,972.40
  6. Step 6: Final answer
    x = 166,473.42

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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.