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Finding the Fourth Proportional to 299,577.81, 413,415.27 and 163,611.80

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Solution

The fourth proportional to 299,577.81, 413,415.27 and 163,611.80 is: 225,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.81 : 413,415.27 = 163,611.80 : x
  2. Step 2: Convert to fraction form
    299,577.81/413,415.27 = 163,611.80/x
  3. Step 3: Cross multiply
    299,577.81x = 413,415.27 × 163,611.80
  4. Step 4: Simplify right side
    299,577.81x = 67,639,616,472.19
  5. Step 5: Solve for x
    x = 67,639,616,472.19/299,577.81
  6. Step 6: Final answer
    x = 225,783.13

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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.