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Finding the Fourth Proportional to 289,549.64, 399,589.46 and 162,220.88

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Solution

The fourth proportional to 289,549.64, 399,589.46 and 162,220.88 is: 223,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,549.64 : 399,589.46 = 162,220.88 : x
  2. Step 2: Convert to fraction form
    289,549.64/399,589.46 = 162,220.88/x
  3. Step 3: Cross multiply
    289,549.64x = 399,589.46 × 162,220.88
  4. Step 4: Simplify right side
    289,549.64x = 64,821,751,030.87
  5. Step 5: Solve for x
    x = 64,821,751,030.87/289,549.64
  6. Step 6: Final answer
    x = 223,870.95

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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.