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Finding the Fourth Proportional to 296,366, 408,981.78 and 160,396.88

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Solution

The fourth proportional to 296,366, 408,981.78 and 160,396.88 is: 221,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,366 : 408,981.78 = 160,396.88 : x
  2. Step 2: Convert to fraction form
    296,366/408,981.78 = 160,396.88/x
  3. Step 3: Cross multiply
    296,366x = 408,981.78 × 160,396.88
  4. Step 4: Simplify right side
    296,366x = 65,599,401,488.85
  5. Step 5: Solve for x
    x = 65,599,401,488.85/296,366
  6. Step 6: Final answer
    x = 221,345.91

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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.