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Finding the Fourth Proportional to 299,055.40, 448,064.70 and 193,820.20

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Solution

The fourth proportional to 299,055.40, 448,064.70 and 193,820.20 is: 290,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.40 : 448,064.70 = 193,820.20 : x
  2. Step 2: Convert to fraction form
    299,055.40/448,064.70 = 193,820.20/x
  3. Step 3: Cross multiply
    299,055.40x = 448,064.70 × 193,820.20
  4. Step 4: Simplify right side
    299,055.40x = 86,843,989,766.94
  5. Step 5: Solve for x
    x = 86,843,989,766.94/299,055.40
  6. Step 6: Final answer
    x = 290,394.32

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1.5x scale

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.