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Finding the Fourth Proportional to 288,181.70, 397,690.98 and 160,857.30

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Solution

The fourth proportional to 288,181.70, 397,690.98 and 160,857.30 is: 221,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,181.70 : 397,690.98 = 160,857.30 : x
  2. Step 2: Convert to fraction form
    288,181.70/397,690.98 = 160,857.30/x
  3. Step 3: Cross multiply
    288,181.70x = 397,690.98 × 160,857.30
  4. Step 4: Simplify right side
    288,181.70x = 63,971,497,277.15
  5. Step 5: Solve for x
    x = 63,971,497,277.15/288,181.70
  6. Step 6: Final answer
    x = 221,983.20

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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.