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Finding the Fourth Proportional to 268,967.52, 403,538.40 and 128,736

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Solution

The fourth proportional to 268,967.52, 403,538.40 and 128,736 is: 193,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,967.52 : 403,538.40 = 128,736 : x
  2. Step 2: Convert to fraction form
    268,967.52/403,538.40 = 128,736/x
  3. Step 3: Cross multiply
    268,967.52x = 403,538.40 × 128,736
  4. Step 4: Simplify right side
    268,967.52x = 51,949,919,462.40
  5. Step 5: Solve for x
    x = 51,949,919,462.40/268,967.52
  6. Step 6: Final answer
    x = 193,145.70

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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.