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Finding the Fourth Proportional to 299,113.98, 448,573.91 and 99,380.75

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Solution

The fourth proportional to 299,113.98, 448,573.91 and 99,380.75 is: 149,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113.98 : 448,573.91 = 99,380.75 : x
  2. Step 2: Convert to fraction form
    299,113.98/448,573.91 = 99,380.75/x
  3. Step 3: Cross multiply
    299,113.98x = 448,573.91 × 99,380.75
  4. Step 4: Simplify right side
    299,113.98x = 44,579,608,866.46
  5. Step 5: Solve for x
    x = 44,579,608,866.46/299,113.98
  6. Step 6: Final answer
    x = 149,038.87

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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.