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Finding the Fourth Proportional to 299,638.17, 412,797.06 and 208,829.07

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Solution

The fourth proportional to 299,638.17, 412,797.06 and 208,829.07 is: 287,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638.17 : 412,797.06 = 208,829.07 : x
  2. Step 2: Convert to fraction form
    299,638.17/412,797.06 = 208,829.07/x
  3. Step 3: Cross multiply
    299,638.17x = 412,797.06 × 208,829.07
  4. Step 4: Simplify right side
    299,638.17x = 86,204,026,138.53
  5. Step 5: Solve for x
    x = 86,204,026,138.53/299,638.17
  6. Step 6: Final answer
    x = 287,693.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.