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Finding the Fourth Proportional to 299,374.31, 413,205.96 and 197,418.20

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Solution

The fourth proportional to 299,374.31, 413,205.96 and 197,418.20 is: 272,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,374.31 : 413,205.96 = 197,418.20 : x
  2. Step 2: Convert to fraction form
    299,374.31/413,205.96 = 197,418.20/x
  3. Step 3: Cross multiply
    299,374.31x = 413,205.96 × 197,418.20
  4. Step 4: Simplify right side
    299,374.31x = 81,574,374,416.28
  5. Step 5: Solve for x
    x = 81,574,374,416.28/299,374.31
  6. Step 6: Final answer
    x = 272,482.88

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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.