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Finding the Fourth Proportional to 299,144.69, 448,720.94 and 99,465.09

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Solution

The fourth proportional to 299,144.69, 448,720.94 and 99,465.09 is: 149,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,144.69 : 448,720.94 = 99,465.09 : x
  2. Step 2: Convert to fraction form
    299,144.69/448,720.94 = 99,465.09/x
  3. Step 3: Cross multiply
    299,144.69x = 448,720.94 × 99,465.09
  4. Step 4: Simplify right side
    299,144.69x = 44,632,068,681.98
  5. Step 5: Solve for x
    x = 44,632,068,681.98/299,144.69
  6. Step 6: Final answer
    x = 149,198.93

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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.