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Finding the Fourth Proportional to 403,287.67, 605,305.14 and 203,748.67

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Solution

The fourth proportional to 403,287.67, 605,305.14 and 203,748.67 is: 305,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,287.67 : 605,305.14 = 203,748.67 : x
  2. Step 2: Convert to fraction form
    403,287.67/605,305.14 = 203,748.67/x
  3. Step 3: Cross multiply
    403,287.67x = 605,305.14 × 203,748.67
  4. Step 4: Simplify right side
    403,287.67x = 123,330,117,219.16
  5. Step 5: Solve for x
    x = 123,330,117,219.16/403,287.67
  6. Step 6: Final answer
    x = 305,811.77

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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.