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Finding the Fourth Proportional to 299,410.80, 448,511.40 and 186,745.20

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Solution

The fourth proportional to 299,410.80, 448,511.40 and 186,745.20 is: 279,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410.80 : 448,511.40 = 186,745.20 : x
  2. Step 2: Convert to fraction form
    299,410.80/448,511.40 = 186,745.20/x
  3. Step 3: Cross multiply
    299,410.80x = 448,511.40 × 186,745.20
  4. Step 4: Simplify right side
    299,410.80x = 83,757,351,095.28
  5. Step 5: Solve for x
    x = 83,757,351,095.28/299,410.80
  6. Step 6: Final answer
    x = 279,740.58

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1.5x scale

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.