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Finding the Fourth Proportional to 217,263.84, 326,206.80 and 161,276.64

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Solution

The fourth proportional to 217,263.84, 326,206.80 and 161,276.64 is: 242,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,263.84 : 326,206.80 = 161,276.64 : x
  2. Step 2: Convert to fraction form
    217,263.84/326,206.80 = 161,276.64/x
  3. Step 3: Cross multiply
    217,263.84x = 326,206.80 × 161,276.64
  4. Step 4: Simplify right side
    217,263.84x = 52,609,536,649.15
  5. Step 5: Solve for x
    x = 52,609,536,649.15/217,263.84
  6. Step 6: Final answer
    x = 242,145.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.