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Finding the Fourth Proportional to 295,851, 408,274.38 and 161,715

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Solution

The fourth proportional to 295,851, 408,274.38 and 161,715 is: 223,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,851 : 408,274.38 = 161,715 : x
  2. Step 2: Convert to fraction form
    295,851/408,274.38 = 161,715/x
  3. Step 3: Cross multiply
    295,851x = 408,274.38 × 161,715
  4. Step 4: Simplify right side
    295,851x = 66,024,091,361.70
  5. Step 5: Solve for x
    x = 66,024,091,361.70/295,851
  6. Step 6: Final answer
    x = 223,166.70

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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.