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Finding the Fourth Proportional to 299,069.92, 412,669.14 and 178,208.20

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Solution

The fourth proportional to 299,069.92, 412,669.14 and 178,208.20 is: 245,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069.92 : 412,669.14 = 178,208.20 : x
  2. Step 2: Convert to fraction form
    299,069.92/412,669.14 = 178,208.20/x
  3. Step 3: Cross multiply
    299,069.92x = 412,669.14 × 178,208.20
  4. Step 4: Simplify right side
    299,069.92x = 73,541,024,634.95
  5. Step 5: Solve for x
    x = 73,541,024,634.95/299,069.92
  6. Step 6: Final answer
    x = 245,899.10

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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.