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Finding the Fourth Proportional to 300,870.28, 415,220.34 and 166,742.92

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Solution

The fourth proportional to 300,870.28, 415,220.34 and 166,742.92 is: 230,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,870.28 : 415,220.34 = 166,742.92 : x
  2. Step 2: Convert to fraction form
    300,870.28/415,220.34 = 166,742.92/x
  3. Step 3: Cross multiply
    300,870.28x = 415,220.34 × 166,742.92
  4. Step 4: Simplify right side
    300,870.28x = 69,235,051,934.99
  5. Step 5: Solve for x
    x = 69,235,051,934.99/300,870.28
  6. Step 6: Final answer
    x = 230,115.96

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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.