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Finding the Fourth Proportional to 289,914.70, 400,085.64 and 160,855.60

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Solution

The fourth proportional to 289,914.70, 400,085.64 and 160,855.60 is: 221,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,914.70 : 400,085.64 = 160,855.60 : x
  2. Step 2: Convert to fraction form
    289,914.70/400,085.64 = 160,855.60/x
  3. Step 3: Cross multiply
    289,914.70x = 400,085.64 × 160,855.60
  4. Step 4: Simplify right side
    289,914.70x = 64,356,015,673.58
  5. Step 5: Solve for x
    x = 64,356,015,673.58/289,914.70
  6. Step 6: Final answer
    x = 221,982.59

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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.