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Finding the Fourth Proportional to 289,783.96, 399,921.06 and 162,467.80

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Solution

The fourth proportional to 289,783.96, 399,921.06 and 162,467.80 is: 224,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.96 : 399,921.06 = 162,467.80 : x
  2. Step 2: Convert to fraction form
    289,783.96/399,921.06 = 162,467.80/x
  3. Step 3: Cross multiply
    289,783.96x = 399,921.06 × 162,467.80
  4. Step 4: Simplify right side
    289,783.96x = 64,974,294,791.87
  5. Step 5: Solve for x
    x = 64,974,294,791.87/289,783.96
  6. Step 6: Final answer
    x = 224,216.33

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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.