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Finding the Fourth Proportional to 289,921.32, 400,107.96 and 162,586.80

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Solution

The fourth proportional to 289,921.32, 400,107.96 and 162,586.80 is: 224,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,921.32 : 400,107.96 = 162,586.80 : x
  2. Step 2: Convert to fraction form
    289,921.32/400,107.96 = 162,586.80/x
  3. Step 3: Cross multiply
    289,921.32x = 400,107.96 × 162,586.80
  4. Step 4: Simplify right side
    289,921.32x = 65,052,272,870.93
  5. Step 5: Solve for x
    x = 65,052,272,870.93/289,921.32
  6. Step 6: Final answer
    x = 224,379.06

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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.