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Finding the Fourth Proportional to 299,422.78, 413,272.90 and 197,466.64

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Solution

The fourth proportional to 299,422.78, 413,272.90 and 197,466.64 is: 272,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422.78 : 413,272.90 = 197,466.64 : x
  2. Step 2: Convert to fraction form
    299,422.78/413,272.90 = 197,466.64/x
  3. Step 3: Cross multiply
    299,422.78x = 413,272.90 × 197,466.64
  4. Step 4: Simplify right side
    299,422.78x = 81,607,610,966.06
  5. Step 5: Solve for x
    x = 81,607,610,966.06/299,422.78
  6. Step 6: Final answer
    x = 272,549.77

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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.