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Finding the Fourth Proportional to 299,138.62, 448,610.81 and 99,405.34

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Solution

The fourth proportional to 299,138.62, 448,610.81 and 99,405.34 is: 149,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,138.62 : 448,610.81 = 99,405.34 : x
  2. Step 2: Convert to fraction form
    299,138.62/448,610.81 = 99,405.34/x
  3. Step 3: Cross multiply
    299,138.62x = 448,610.81 × 99,405.34
  4. Step 4: Simplify right side
    299,138.62x = 44,594,310,095.73
  5. Step 5: Solve for x
    x = 44,594,310,095.73/299,138.62
  6. Step 6: Final answer
    x = 149,075.74

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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.