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Finding the Fourth Proportional to 304,084.64, 456,191.36 and 90,869.15

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Solution

The fourth proportional to 304,084.64, 456,191.36 and 90,869.15 is: 136,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,084.64 : 456,191.36 = 90,869.15 : x
  2. Step 2: Convert to fraction form
    304,084.64/456,191.36 = 90,869.15/x
  3. Step 3: Cross multiply
    304,084.64x = 456,191.36 × 90,869.15
  4. Step 4: Simplify right side
    304,084.64x = 41,453,722,147.44
  5. Step 5: Solve for x
    x = 41,453,722,147.44/304,084.64
  6. Step 6: Final answer
    x = 136,322.97

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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.