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Finding the Fourth Proportional to 403,864.80, 605,710.80 and 179,224.80

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Solution

The fourth proportional to 403,864.80, 605,710.80 and 179,224.80 is: 268,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,864.80 : 605,710.80 = 179,224.80 : x
  2. Step 2: Convert to fraction form
    403,864.80/605,710.80 = 179,224.80/x
  3. Step 3: Cross multiply
    403,864.80x = 605,710.80 × 179,224.80
  4. Step 4: Simplify right side
    403,864.80x = 108,558,396,987.84
  5. Step 5: Solve for x
    x = 108,558,396,987.84/403,864.80
  6. Step 6: Final answer
    x = 268,798.86

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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.