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Finding the Fourth Proportional to 403,433.60, 605,150.40 and 122,964.80

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Solution

The fourth proportional to 403,433.60, 605,150.40 and 122,964.80 is: 184,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,433.60 : 605,150.40 = 122,964.80 : x
  2. Step 2: Convert to fraction form
    403,433.60/605,150.40 = 122,964.80/x
  3. Step 3: Cross multiply
    403,433.60x = 605,150.40 × 122,964.80
  4. Step 4: Simplify right side
    403,433.60x = 74,412,197,905.92
  5. Step 5: Solve for x
    x = 74,412,197,905.92/403,433.60
  6. Step 6: Final answer
    x = 184,447.20

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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.