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Finding the Fourth Proportional to 306,266.26, 459,362.88 and 81,643.54

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Solution

The fourth proportional to 306,266.26, 459,362.88 and 81,643.54 is: 122,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,266.26 : 459,362.88 = 81,643.54 : x
  2. Step 2: Convert to fraction form
    306,266.26/459,362.88 = 81,643.54/x
  3. Step 3: Cross multiply
    306,266.26x = 459,362.88 × 81,643.54
  4. Step 4: Simplify right side
    306,266.26x = 37,504,011,667.80
  5. Step 5: Solve for x
    x = 37,504,011,667.80/306,266.26
  6. Step 6: Final answer
    x = 122,455.58

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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.