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Finding the Fourth Proportional to 403,319.57, 605,353.19 and 203,780.19

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Solution

The fourth proportional to 403,319.57, 605,353.19 and 203,780.19 is: 305,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,319.57 : 605,353.19 = 203,780.19 : x
  2. Step 2: Convert to fraction form
    403,319.57/605,353.19 = 203,780.19/x
  3. Step 3: Cross multiply
    403,319.57x = 605,353.19 × 203,780.19
  4. Step 4: Simplify right side
    403,319.57x = 123,358,988,584.76
  5. Step 5: Solve for x
    x = 123,358,988,584.76/403,319.57
  6. Step 6: Final answer
    x = 305,859.17

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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.