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Finding the Fourth Proportional to 222,978.40, 307,703.82 and 120,999.40

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Solution

The fourth proportional to 222,978.40, 307,703.82 and 120,999.40 is: 166,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,978.40 : 307,703.82 = 120,999.40 : x
  2. Step 2: Convert to fraction form
    222,978.40/307,703.82 = 120,999.40/x
  3. Step 3: Cross multiply
    222,978.40x = 307,703.82 × 120,999.40
  4. Step 4: Simplify right side
    222,978.40x = 37,231,977,597.71
  5. Step 5: Solve for x
    x = 37,231,977,597.71/222,978.40
  6. Step 6: Final answer
    x = 166,975.71

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1.5x scale

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.