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Finding the Fourth Proportional to 300,559.76, 414,767.40 and 166,420.88

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Solution

The fourth proportional to 300,559.76, 414,767.40 and 166,420.88 is: 229,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,559.76 : 414,767.40 = 166,420.88 : x
  2. Step 2: Convert to fraction form
    300,559.76/414,767.40 = 166,420.88/x
  3. Step 3: Cross multiply
    300,559.76x = 414,767.40 × 166,420.88
  4. Step 4: Simplify right side
    300,559.76x = 69,025,955,703.31
  5. Step 5: Solve for x
    x = 69,025,955,703.31/300,559.76
  6. Step 6: Final answer
    x = 229,658.01

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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.