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Finding the Fourth Proportional to 289,914.78, 400,085.64 and 160,855.62

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Solution

The fourth proportional to 289,914.78, 400,085.64 and 160,855.62 is: 221,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,914.78 : 400,085.64 = 160,855.62 : x
  2. Step 2: Convert to fraction form
    289,914.78/400,085.64 = 160,855.62/x
  3. Step 3: Cross multiply
    289,914.78x = 400,085.64 × 160,855.62
  4. Step 4: Simplify right side
    289,914.78x = 64,356,023,675.30
  5. Step 5: Solve for x
    x = 64,356,023,675.30/289,914.78
  6. Step 6: Final answer
    x = 221,982.56

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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.