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Finding the Fourth Proportional to 299,213.68, 412,775.82 and 178,287.16

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Solution

The fourth proportional to 299,213.68, 412,775.82 and 178,287.16 is: 245,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213.68 : 412,775.82 = 178,287.16 : x
  2. Step 2: Convert to fraction form
    299,213.68/412,775.82 = 178,287.16/x
  3. Step 3: Cross multiply
    299,213.68x = 412,775.82 × 178,287.16
  4. Step 4: Simplify right side
    299,213.68x = 73,592,628,664.47
  5. Step 5: Solve for x
    x = 73,592,628,664.47/299,213.68
  6. Step 6: Final answer
    x = 245,953.42

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1.5x scale

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.