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Finding the Fourth Proportional to 403,870.80, 605,719.80 and 179,230.80

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Solution

The fourth proportional to 403,870.80, 605,719.80 and 179,230.80 is: 268,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,870.80 : 605,719.80 = 179,230.80 : x
  2. Step 2: Convert to fraction form
    403,870.80/605,719.80 = 179,230.80/x
  3. Step 3: Cross multiply
    403,870.80x = 605,719.80 × 179,230.80
  4. Step 4: Simplify right side
    403,870.80x = 108,563,644,329.84
  5. Step 5: Solve for x
    x = 108,563,644,329.84/403,870.80
  6. Step 6: Final answer
    x = 268,807.86

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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.