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Finding the Fourth Proportional to 299,135.30, 447,649.54 and 186,868.22

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Solution

The fourth proportional to 299,135.30, 447,649.54 and 186,868.22 is: 279,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,135.30 : 447,649.54 = 186,868.22 : x
  2. Step 2: Convert to fraction form
    299,135.30/447,649.54 = 186,868.22/x
  3. Step 3: Cross multiply
    299,135.30x = 447,649.54 × 186,868.22
  4. Step 4: Simplify right side
    299,135.30x = 83,651,470,018.20
  5. Step 5: Solve for x
    x = 83,651,470,018.20/299,135.30
  6. Step 6: Final answer
    x = 279,644.27

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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.