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Finding the Fourth Proportional to 203,497.80, 280,503.31 and 160,407.42

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Solution

The fourth proportional to 203,497.80, 280,503.31 and 160,407.42 is: 221,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.80 : 280,503.31 = 160,407.42 : x
  2. Step 2: Convert to fraction form
    203,497.80/280,503.31 = 160,407.42/x
  3. Step 3: Cross multiply
    203,497.80x = 280,503.31 × 160,407.42
  4. Step 4: Simplify right side
    203,497.80x = 44,994,812,258.56
  5. Step 5: Solve for x
    x = 44,994,812,258.56/203,497.80
  6. Step 6: Final answer
    x = 221,107.12

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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.