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Finding the Fourth Proportional to 299,261.49, 412,990.81 and 163,302.90

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Solution

The fourth proportional to 299,261.49, 412,990.81 and 163,302.90 is: 225,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,261.49 : 412,990.81 = 163,302.90 : x
  2. Step 2: Convert to fraction form
    299,261.49/412,990.81 = 163,302.90/x
  3. Step 3: Cross multiply
    299,261.49x = 412,990.81 × 163,302.90
  4. Step 4: Simplify right side
    299,261.49x = 67,442,594,881.39
  5. Step 5: Solve for x
    x = 67,442,594,881.39/299,261.49
  6. Step 6: Final answer
    x = 225,363.43

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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.