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Finding the Fourth Proportional to 306,533.64, 459,799.82 and 84,917

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Solution

The fourth proportional to 306,533.64, 459,799.82 and 84,917 is: 127,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,533.64 : 459,799.82 = 84,917 : x
  2. Step 2: Convert to fraction form
    306,533.64/459,799.82 = 84,917/x
  3. Step 3: Cross multiply
    306,533.64x = 459,799.82 × 84,917
  4. Step 4: Simplify right side
    306,533.64x = 39,044,821,314.94
  5. Step 5: Solve for x
    x = 39,044,821,314.94/306,533.64
  6. Step 6: Final answer
    x = 127,375.32

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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.