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Finding the Fourth Proportional to 299,057.34, 448,216.62 and 256,639.26

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Solution

The fourth proportional to 299,057.34, 448,216.62 and 256,639.26 is: 384,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,057.34 : 448,216.62 = 256,639.26 : x
  2. Step 2: Convert to fraction form
    299,057.34/448,216.62 = 256,639.26/x
  3. Step 3: Cross multiply
    299,057.34x = 448,216.62 × 256,639.26
  4. Step 4: Simplify right side
    299,057.34x = 115,029,981,676.50
  5. Step 5: Solve for x
    x = 115,029,981,676.50/299,057.34
  6. Step 6: Final answer
    x = 384,641.89

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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.