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Finding the Fourth Proportional to 403,475.60, 605,213.40 and 122,992.40

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Solution

The fourth proportional to 403,475.60, 605,213.40 and 122,992.40 is: 184,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,475.60 : 605,213.40 = 122,992.40 : x
  2. Step 2: Convert to fraction form
    403,475.60/605,213.40 = 122,992.40/x
  3. Step 3: Cross multiply
    403,475.60x = 605,213.40 × 122,992.40
  4. Step 4: Simplify right side
    403,475.60x = 74,436,648,578.16
  5. Step 5: Solve for x
    x = 74,436,648,578.16/403,475.60
  6. Step 6: Final answer
    x = 184,488.60

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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.