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Finding the Fourth Proportional to 289,269.12, 399,206.40 and 161,937.12

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Solution

The fourth proportional to 289,269.12, 399,206.40 and 161,937.12 is: 223,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,269.12 : 399,206.40 = 161,937.12 : x
  2. Step 2: Convert to fraction form
    289,269.12/399,206.40 = 161,937.12/x
  3. Step 3: Cross multiply
    289,269.12x = 399,206.40 × 161,937.12
  4. Step 4: Simplify right side
    289,269.12x = 64,646,334,701.57
  5. Step 5: Solve for x
    x = 64,646,334,701.57/289,269.12
  6. Step 6: Final answer
    x = 223,481.63

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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.