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Finding the Fourth Proportional to 289,102.32, 398,977.92 and 161,776.80

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Solution

The fourth proportional to 289,102.32, 398,977.92 and 161,776.80 is: 223,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.32 : 398,977.92 = 161,776.80 : x
  2. Step 2: Convert to fraction form
    289,102.32/398,977.92 = 161,776.80/x
  3. Step 3: Cross multiply
    289,102.32x = 398,977.92 × 161,776.80
  4. Step 4: Simplify right side
    289,102.32x = 64,545,371,168.26
  5. Step 5: Solve for x
    x = 64,545,371,168.26/289,102.32
  6. Step 6: Final answer
    x = 223,261.34

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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.