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Finding the Fourth Proportional to 300,134.79, 414,177.20 and 164,165.80

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Solution

The fourth proportional to 300,134.79, 414,177.20 and 164,165.80 is: 226,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,134.79 : 414,177.20 = 164,165.80 : x
  2. Step 2: Convert to fraction form
    300,134.79/414,177.20 = 164,165.80/x
  3. Step 3: Cross multiply
    300,134.79x = 414,177.20 × 164,165.80
  4. Step 4: Simplify right side
    300,134.79x = 67,993,730,443.39
  5. Step 5: Solve for x
    x = 67,993,730,443.39/300,134.79
  6. Step 6: Final answer
    x = 226,543.98

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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.