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Finding the Fourth Proportional to 304,201.72, 456,367.70 and 90,986.36

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Solution

The fourth proportional to 304,201.72, 456,367.70 and 90,986.36 is: 136,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,201.72 : 456,367.70 = 90,986.36 : x
  2. Step 2: Convert to fraction form
    304,201.72/456,367.70 = 90,986.36/x
  3. Step 3: Cross multiply
    304,201.72x = 456,367.70 × 90,986.36
  4. Step 4: Simplify right side
    304,201.72x = 41,523,235,844.57
  5. Step 5: Solve for x
    x = 41,523,235,844.57/304,201.72
  6. Step 6: Final answer
    x = 136,499.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.