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Finding the Fourth Proportional to 268,005.20, 401,662.20 and 127,461.20

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Solution

The fourth proportional to 268,005.20, 401,662.20 and 127,461.20 is: 191,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,005.20 : 401,662.20 = 127,461.20 : x
  2. Step 2: Convert to fraction form
    268,005.20/401,662.20 = 127,461.20/x
  3. Step 3: Cross multiply
    268,005.20x = 401,662.20 × 127,461.20
  4. Step 4: Simplify right side
    268,005.20x = 51,196,346,006.64
  5. Step 5: Solve for x
    x = 51,196,346,006.64/268,005.20
  6. Step 6: Final answer
    x = 191,027.44

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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.