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Finding the Fourth Proportional to 300,984, 415,392.48 and 171,942.90

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Solution

The fourth proportional to 300,984, 415,392.48 and 171,942.90 is: 237,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,984 : 415,392.48 = 171,942.90 : x
  2. Step 2: Convert to fraction form
    300,984/415,392.48 = 171,942.90/x
  3. Step 3: Cross multiply
    300,984x = 415,392.48 × 171,942.90
  4. Step 4: Simplify right side
    300,984x = 71,423,787,649.39
  5. Step 5: Solve for x
    x = 71,423,787,649.39/300,984
  6. Step 6: Final answer
    x = 237,300.95

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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.