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Finding the Fourth Proportional to 403,340.80, 605,011.26 and 133,396.50

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Solution

The fourth proportional to 403,340.80, 605,011.26 and 133,396.50 is: 200,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,340.80 : 605,011.26 = 133,396.50 : x
  2. Step 2: Convert to fraction form
    403,340.80/605,011.26 = 133,396.50/x
  3. Step 3: Cross multiply
    403,340.80x = 605,011.26 × 133,396.50
  4. Step 4: Simplify right side
    403,340.80x = 80,706,382,021.25
  5. Step 5: Solve for x
    x = 80,706,382,021.25/403,340.80
  6. Step 6: Final answer
    x = 200,094.76

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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.