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Finding the Fourth Proportional to 300,407.28, 414,562.86 and 166,271.28

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Solution

The fourth proportional to 300,407.28, 414,562.86 and 166,271.28 is: 229,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,407.28 : 414,562.86 = 166,271.28 : x
  2. Step 2: Convert to fraction form
    300,407.28/414,562.86 = 166,271.28/x
  3. Step 3: Cross multiply
    300,407.28x = 414,562.86 × 166,271.28
  4. Step 4: Simplify right side
    300,407.28x = 68,929,897,372.66
  5. Step 5: Solve for x
    x = 68,929,897,372.66/300,407.28
  6. Step 6: Final answer
    x = 229,454.82

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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.