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Finding the Fourth Proportional to 306,284.57, 459,448.74 and 81,643.85

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Solution

The fourth proportional to 306,284.57, 459,448.74 and 81,643.85 is: 122,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,284.57 : 459,448.74 = 81,643.85 : x
  2. Step 2: Convert to fraction form
    306,284.57/459,448.74 = 81,643.85/x
  3. Step 3: Cross multiply
    306,284.57x = 459,448.74 × 81,643.85
  4. Step 4: Simplify right side
    306,284.57x = 37,511,161,714.01
  5. Step 5: Solve for x
    x = 37,511,161,714.01/306,284.57
  6. Step 6: Final answer
    x = 122,471.60

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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.