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Finding the Fourth Proportional to 301,996.81, 416,758.40 and 166,031.72

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Solution

The fourth proportional to 301,996.81, 416,758.40 and 166,031.72 is: 229,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.81 : 416,758.40 = 166,031.72 : x
  2. Step 2: Convert to fraction form
    301,996.81/416,758.40 = 166,031.72/x
  3. Step 3: Cross multiply
    301,996.81x = 416,758.40 × 166,031.72
  4. Step 4: Simplify right side
    301,996.81x = 69,195,111,892.66
  5. Step 5: Solve for x
    x = 69,195,111,892.66/301,996.81
  6. Step 6: Final answer
    x = 229,125.31

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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.