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Finding the Fourth Proportional to 266,768.32, 400,206.48 and 109,009.48

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Solution

The fourth proportional to 266,768.32, 400,206.48 and 109,009.48 is: 163,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,768.32 : 400,206.48 = 109,009.48 : x
  2. Step 2: Convert to fraction form
    266,768.32/400,206.48 = 109,009.48/x
  3. Step 3: Cross multiply
    266,768.32x = 400,206.48 × 109,009.48
  4. Step 4: Simplify right side
    266,768.32x = 43,626,300,277.43
  5. Step 5: Solve for x
    x = 43,626,300,277.43/266,768.32
  6. Step 6: Final answer
    x = 163,536.29

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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.