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Finding the Fourth Proportional to 305,059.64, 420,933.31 and 191,802.20

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Solution

The fourth proportional to 305,059.64, 420,933.31 and 191,802.20 is: 264,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,059.64 : 420,933.31 = 191,802.20 : x
  2. Step 2: Convert to fraction form
    305,059.64/420,933.31 = 191,802.20/x
  3. Step 3: Cross multiply
    305,059.64x = 420,933.31 × 191,802.20
  4. Step 4: Simplify right side
    305,059.64x = 80,735,932,327.11
  5. Step 5: Solve for x
    x = 80,735,932,327.11/305,059.64
  6. Step 6: Final answer
    x = 264,656.23

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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.