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Finding the Fourth Proportional to 535,910.28, 803,253.86 and 215,857.18

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Solution

The fourth proportional to 535,910.28, 803,253.86 and 215,857.18 is: 323,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,910.28 : 803,253.86 = 215,857.18 : x
  2. Step 2: Convert to fraction form
    535,910.28/803,253.86 = 215,857.18/x
  3. Step 3: Cross multiply
    535,910.28x = 803,253.86 × 215,857.18
  4. Step 4: Simplify right side
    535,910.28x = 173,388,112,733.01
  5. Step 5: Solve for x
    x = 173,388,112,733.01/535,910.28
  6. Step 6: Final answer
    x = 323,539.44

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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.