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Finding the Fourth Proportional to 299,122.61, 448,586.84 and 99,389.36

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Solution

The fourth proportional to 299,122.61, 448,586.84 and 99,389.36 is: 149,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.61 : 448,586.84 = 99,389.36 : x
  2. Step 2: Convert to fraction form
    299,122.61/448,586.84 = 99,389.36/x
  3. Step 3: Cross multiply
    299,122.61x = 448,586.84 × 99,389.36
  4. Step 4: Simplify right side
    299,122.61x = 44,584,760,301.96
  5. Step 5: Solve for x
    x = 44,584,760,301.96/299,122.61
  6. Step 6: Final answer
    x = 149,051.79

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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.