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Finding the Fourth Proportional to 299,530.45, 412,649.53 and 208,721.62

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Solution

The fourth proportional to 299,530.45, 412,649.53 and 208,721.62 is: 287,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,530.45 : 412,649.53 = 208,721.62 : x
  2. Step 2: Convert to fraction form
    299,530.45/412,649.53 = 208,721.62/x
  3. Step 3: Cross multiply
    299,530.45x = 412,649.53 × 208,721.62
  4. Step 4: Simplify right side
    299,530.45x = 86,128,876,840.41
  5. Step 5: Solve for x
    x = 86,128,876,840.41/299,530.45
  6. Step 6: Final answer
    x = 287,546.32

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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.