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Finding the Fourth Proportional to 299,113.81, 412,766.98 and 178,192.47

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Solution

The fourth proportional to 299,113.81, 412,766.98 and 178,192.47 is: 245,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113.81 : 412,766.98 = 178,192.47 : x
  2. Step 2: Convert to fraction form
    299,113.81/412,766.98 = 178,192.47/x
  3. Step 3: Cross multiply
    299,113.81x = 412,766.98 × 178,192.47
  4. Step 4: Simplify right side
    299,113.81x = 73,551,967,700.64
  5. Step 5: Solve for x
    x = 73,551,967,700.64/299,113.81
  6. Step 6: Final answer
    x = 245,899.60

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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.