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Finding the Fourth Proportional to 296,030, 408,531.12 and 161,894

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Solution

The fourth proportional to 296,030, 408,531.12 and 161,894 is: 223,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,030 : 408,531.12 = 161,894 : x
  2. Step 2: Convert to fraction form
    296,030/408,531.12 = 161,894/x
  3. Step 3: Cross multiply
    296,030x = 408,531.12 × 161,894
  4. Step 4: Simplify right side
    296,030x = 66,138,737,141.28
  5. Step 5: Solve for x
    x = 66,138,737,141.28/296,030
  6. Step 6: Final answer
    x = 223,419.04

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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.