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Finding the Fourth Proportional to 330,459.49, 455,993.78 and 185,231.75

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Solution

The fourth proportional to 330,459.49, 455,993.78 and 185,231.75 is: 255,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,459.49 : 455,993.78 = 185,231.75 : x
  2. Step 2: Convert to fraction form
    330,459.49/455,993.78 = 185,231.75/x
  3. Step 3: Cross multiply
    330,459.49x = 455,993.78 × 185,231.75
  4. Step 4: Simplify right side
    330,459.49x = 84,464,526,072.34
  5. Step 5: Solve for x
    x = 84,464,526,072.34/330,459.49
  6. Step 6: Final answer
    x = 255,597.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.