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Finding the Fourth Proportional to 299,846.80, 413,787.61 and 163,880.74

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Solution

The fourth proportional to 299,846.80, 413,787.61 and 163,880.74 is: 226,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,846.80 : 413,787.61 = 163,880.74 : x
  2. Step 2: Convert to fraction form
    299,846.80/413,787.61 = 163,880.74/x
  3. Step 3: Cross multiply
    299,846.80x = 413,787.61 × 163,880.74
  4. Step 4: Simplify right side
    299,846.80x = 67,811,819,729.63
  5. Step 5: Solve for x
    x = 67,811,819,729.63/299,846.80
  6. Step 6: Final answer
    x = 226,154.89

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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.