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Finding the Fourth Proportional to 289,157.18, 399,036.84 and 161,832.78

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Solution

The fourth proportional to 289,157.18, 399,036.84 and 161,832.78 is: 223,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,157.18 : 399,036.84 = 161,832.78 : x
  2. Step 2: Convert to fraction form
    289,157.18/399,036.84 = 161,832.78/x
  3. Step 3: Cross multiply
    289,157.18x = 399,036.84 × 161,832.78
  4. Step 4: Simplify right side
    289,157.18x = 64,577,241,139.62
  5. Step 5: Solve for x
    x = 64,577,241,139.62/289,157.18
  6. Step 6: Final answer
    x = 223,329.20

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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.