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Finding the Fourth Proportional to 300,988.56, 415,372.11 and 170,155.80

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Solution

The fourth proportional to 300,988.56, 415,372.11 and 170,155.80 is: 234,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,988.56 : 415,372.11 = 170,155.80 : x
  2. Step 2: Convert to fraction form
    300,988.56/415,372.11 = 170,155.80/x
  3. Step 3: Cross multiply
    300,988.56x = 415,372.11 × 170,155.80
  4. Step 4: Simplify right side
    300,988.56x = 70,677,973,674.74
  5. Step 5: Solve for x
    x = 70,677,973,674.74/300,988.56
  6. Step 6: Final answer
    x = 234,819.47

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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.