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Finding the Fourth Proportional to 299,651.40, 413,503.11 and 163,683.38

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Solution

The fourth proportional to 299,651.40, 413,503.11 and 163,683.38 is: 225,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,651.40 : 413,503.11 = 163,683.38 : x
  2. Step 2: Convert to fraction form
    299,651.40/413,503.11 = 163,683.38/x
  3. Step 3: Cross multiply
    299,651.40x = 413,503.11 × 163,683.38
  4. Step 4: Simplify right side
    299,651.40x = 67,683,586,685.31
  5. Step 5: Solve for x
    x = 67,683,586,685.31/299,651.40
  6. Step 6: Final answer
    x = 225,874.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.