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Finding the Fourth Proportional to 384,801.82, 531,027.22 and 215,035.94

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Solution

The fourth proportional to 384,801.82, 531,027.22 and 215,035.94 is: 296,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,801.82 : 531,027.22 = 215,035.94 : x
  2. Step 2: Convert to fraction form
    384,801.82/531,027.22 = 215,035.94/x
  3. Step 3: Cross multiply
    384,801.82x = 531,027.22 × 215,035.94
  4. Step 4: Simplify right side
    384,801.82x = 114,189,937,418.29
  5. Step 5: Solve for x
    x = 114,189,937,418.29/384,801.82
  6. Step 6: Final answer
    x = 296,749.99

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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.