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Finding the Fourth Proportional to 299,438.09, 448,783.32 and 149,721.19

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Solution

The fourth proportional to 299,438.09, 448,783.32 and 149,721.19 is: 224,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,438.09 : 448,783.32 = 149,721.19 : x
  2. Step 2: Convert to fraction form
    299,438.09/448,783.32 = 149,721.19/x
  3. Step 3: Cross multiply
    299,438.09x = 448,783.32 × 149,721.19
  4. Step 4: Simplify right side
    299,438.09x = 67,192,371,600.59
  5. Step 5: Solve for x
    x = 67,192,371,600.59/299,438.09
  6. Step 6: Final answer
    x = 224,394.87

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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.