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Finding the Fourth Proportional to 298,497, 412,275.78 and 197,720.04

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Solution

The fourth proportional to 298,497, 412,275.78 and 197,720.04 is: 273,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,497 : 412,275.78 = 197,720.04 : x
  2. Step 2: Convert to fraction form
    298,497/412,275.78 = 197,720.04/x
  3. Step 3: Cross multiply
    298,497x = 412,275.78 × 197,720.04
  4. Step 4: Simplify right side
    298,497x = 81,515,183,712.63
  5. Step 5: Solve for x
    x = 81,515,183,712.63/298,497
  6. Step 6: Final answer
    x = 273,085.44

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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.