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Finding the Fourth Proportional to 403,512.20, 605,093.18 and 137,201.20

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Solution

The fourth proportional to 403,512.20, 605,093.18 and 137,201.20 is: 205,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,512.20 : 605,093.18 = 137,201.20 : x
  2. Step 2: Convert to fraction form
    403,512.20/605,093.18 = 137,201.20/x
  3. Step 3: Cross multiply
    403,512.20x = 605,093.18 × 137,201.20
  4. Step 4: Simplify right side
    403,512.20x = 83,019,510,407.82
  5. Step 5: Solve for x
    x = 83,019,510,407.82/403,512.20
  6. Step 6: Final answer
    x = 205,742.26

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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.