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Finding the Fourth Proportional to 289,709.76, 400,347.84 and 217,965.12

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Solution

The fourth proportional to 289,709.76, 400,347.84 and 217,965.12 is: 301,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.76 : 400,347.84 = 217,965.12 : x
  2. Step 2: Convert to fraction form
    289,709.76/400,347.84 = 217,965.12/x
  3. Step 3: Cross multiply
    289,709.76x = 400,347.84 × 217,965.12
  4. Step 4: Simplify right side
    289,709.76x = 87,261,864,987.34
  5. Step 5: Solve for x
    x = 87,261,864,987.34/289,709.76
  6. Step 6: Final answer
    x = 301,204.44

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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.