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Finding the Fourth Proportional to 300,919.36, 415,266.16 and 164,960.96

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Solution

The fourth proportional to 300,919.36, 415,266.16 and 164,960.96 is: 227,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,919.36 : 415,266.16 = 164,960.96 : x
  2. Step 2: Convert to fraction form
    300,919.36/415,266.16 = 164,960.96/x
  3. Step 3: Cross multiply
    300,919.36x = 415,266.16 × 164,960.96
  4. Step 4: Simplify right side
    300,919.36x = 68,502,704,409.11
  5. Step 5: Solve for x
    x = 68,502,704,409.11/300,919.36
  6. Step 6: Final answer
    x = 227,644.72

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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.