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Finding the Fourth Proportional to 397,151.95, 548,069.81 and 215,863.93

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Solution

The fourth proportional to 397,151.95, 548,069.81 and 215,863.93 is: 297,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,151.95 : 548,069.81 = 215,863.93 : x
  2. Step 2: Convert to fraction form
    397,151.95/548,069.81 = 215,863.93/x
  3. Step 3: Cross multiply
    397,151.95x = 548,069.81 × 215,863.93
  4. Step 4: Simplify right side
    397,151.95x = 118,308,502,270.44
  5. Step 5: Solve for x
    x = 118,308,502,270.44/397,151.95
  6. Step 6: Final answer
    x = 297,892.29

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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.