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Finding the Fourth Proportional to 299,425.01, 449,208.30 and 97,020.78

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Solution

The fourth proportional to 299,425.01, 449,208.30 and 97,020.78 is: 145,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425.01 : 449,208.30 = 97,020.78 : x
  2. Step 2: Convert to fraction form
    299,425.01/449,208.30 = 97,020.78/x
  3. Step 3: Cross multiply
    299,425.01x = 449,208.30 × 97,020.78
  4. Step 4: Simplify right side
    299,425.01x = 43,582,539,648.47
  5. Step 5: Solve for x
    x = 43,582,539,648.47/299,425.01
  6. Step 6: Final answer
    x = 145,554.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.