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Finding the Fourth Proportional to 299,437.76, 413,293.60 and 197,481.64

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Solution

The fourth proportional to 299,437.76, 413,293.60 and 197,481.64 is: 272,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,437.76 : 413,293.60 = 197,481.64 : x
  2. Step 2: Convert to fraction form
    299,437.76/413,293.60 = 197,481.64/x
  3. Step 3: Cross multiply
    299,437.76x = 413,293.60 × 197,481.64
  4. Step 4: Simplify right side
    299,437.76x = 81,617,897,929.50
  5. Step 5: Solve for x
    x = 81,617,897,929.50/299,437.76
  6. Step 6: Final answer
    x = 272,570.49

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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.