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Finding the Fourth Proportional to 296,010, 408,493.80 and 161,874

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Solution

The fourth proportional to 296,010, 408,493.80 and 161,874 is: 223,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010 : 408,493.80 = 161,874 : x
  2. Step 2: Convert to fraction form
    296,010/408,493.80 = 161,874/x
  3. Step 3: Cross multiply
    296,010x = 408,493.80 × 161,874
  4. Step 4: Simplify right side
    296,010x = 66,124,525,381.20
  5. Step 5: Solve for x
    x = 66,124,525,381.20/296,010
  6. Step 6: Final answer
    x = 223,386.12

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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.