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Finding the Fourth Proportional to 397,114.61, 548,021.78 and 215,827

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Solution

The fourth proportional to 397,114.61, 548,021.78 and 215,827 is: 297,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114.61 : 548,021.78 = 215,827 : x
  2. Step 2: Convert to fraction form
    397,114.61/548,021.78 = 215,827/x
  3. Step 3: Cross multiply
    397,114.61x = 548,021.78 × 215,827
  4. Step 4: Simplify right side
    397,114.61x = 118,277,896,712.06
  5. Step 5: Solve for x
    x = 118,277,896,712.06/397,114.61
  6. Step 6: Final answer
    x = 297,843.23

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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.