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Finding the Fourth Proportional to 296,128.54, 408,656.11 and 160,162.62

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Solution

The fourth proportional to 296,128.54, 408,656.11 and 160,162.62 is: 221,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,128.54 : 408,656.11 = 160,162.62 : x
  2. Step 2: Convert to fraction form
    296,128.54/408,656.11 = 160,162.62/x
  3. Step 3: Cross multiply
    296,128.54x = 408,656.11 × 160,162.62
  4. Step 4: Simplify right side
    296,128.54x = 65,451,432,455.80
  5. Step 5: Solve for x
    x = 65,451,432,455.80/296,128.54
  6. Step 6: Final answer
    x = 221,023.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.