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Finding the Fourth Proportional to 403,963.60, 605,945.40 and 304,819.60

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Solution

The fourth proportional to 403,963.60, 605,945.40 and 304,819.60 is: 457,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,963.60 : 605,945.40 = 304,819.60 : x
  2. Step 2: Convert to fraction form
    403,963.60/605,945.40 = 304,819.60/x
  3. Step 3: Cross multiply
    403,963.60x = 605,945.40 × 304,819.60
  4. Step 4: Simplify right side
    403,963.60x = 184,704,034,449.84
  5. Step 5: Solve for x
    x = 184,704,034,449.84/403,963.60
  6. Step 6: Final answer
    x = 457,229.40

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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.