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Finding the Fourth Proportional to 403,420.80, 605,066.40 and 122,872.80

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Solution

The fourth proportional to 403,420.80, 605,066.40 and 122,872.80 is: 184,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,420.80 : 605,066.40 = 122,872.80 : x
  2. Step 2: Convert to fraction form
    403,420.80/605,066.40 = 122,872.80/x
  3. Step 3: Cross multiply
    403,420.80x = 605,066.40 × 122,872.80
  4. Step 4: Simplify right side
    403,420.80x = 74,346,202,753.92
  5. Step 5: Solve for x
    x = 74,346,202,753.92/403,420.80
  6. Step 6: Final answer
    x = 184,289.46

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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.