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Finding the Fourth Proportional to 397,143.63, 548,061.89 and 215,856

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Solution

The fourth proportional to 397,143.63, 548,061.89 and 215,856 is: 297,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,143.63 : 548,061.89 = 215,856 : x
  2. Step 2: Convert to fraction form
    397,143.63/548,061.89 = 215,856/x
  3. Step 3: Cross multiply
    397,143.63x = 548,061.89 × 215,856
  4. Step 4: Simplify right side
    397,143.63x = 118,302,446,248.56
  5. Step 5: Solve for x
    x = 118,302,446,248.56/397,143.63
  6. Step 6: Final answer
    x = 297,883.28

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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.