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Finding the Fourth Proportional to 403,039.20, 605,024.40 and 216,415.20

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Solution

The fourth proportional to 403,039.20, 605,024.40 and 216,415.20 is: 324,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,039.20 : 605,024.40 = 216,415.20 : x
  2. Step 2: Convert to fraction form
    403,039.20/605,024.40 = 216,415.20/x
  3. Step 3: Cross multiply
    403,039.20x = 605,024.40 × 216,415.20
  4. Step 4: Simplify right side
    403,039.20x = 130,936,476,530.88
  5. Step 5: Solve for x
    x = 130,936,476,530.88/403,039.20
  6. Step 6: Final answer
    x = 324,872.81

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1.5x scale

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.