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Finding the Fourth Proportional to 403,536.87, 605,010.06 and 137,225.88

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Solution

The fourth proportional to 403,536.87, 605,010.06 and 137,225.88 is: 205,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,536.87 : 605,010.06 = 137,225.88 : x
  2. Step 2: Convert to fraction form
    403,536.87/605,010.06 = 137,225.88/x
  3. Step 3: Cross multiply
    403,536.87x = 605,010.06 × 137,225.88
  4. Step 4: Simplify right side
    403,536.87x = 83,023,037,892.35
  5. Step 5: Solve for x
    x = 83,023,037,892.35/403,536.87
  6. Step 6: Final answer
    x = 205,738.42

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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.