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Finding the Fourth Proportional to 296,354, 408,975 and 162,218

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Solution

The fourth proportional to 296,354, 408,975 and 162,218 is: 223,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,354 : 408,975 = 162,218 : x
  2. Step 2: Convert to fraction form
    296,354/408,975 = 162,218/x
  3. Step 3: Cross multiply
    296,354x = 408,975 × 162,218
  4. Step 4: Simplify right side
    296,354x = 66,343,106,550
  5. Step 5: Solve for x
    x = 66,343,106,550/296,354
  6. Step 6: Final answer
    x = 223,864.39

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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.