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Finding the Fourth Proportional to 299,050.40, 448,057.20 and 193,815.20

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Solution

The fourth proportional to 299,050.40, 448,057.20 and 193,815.20 is: 290,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,050.40 : 448,057.20 = 193,815.20 : x
  2. Step 2: Convert to fraction form
    299,050.40/448,057.20 = 193,815.20/x
  3. Step 3: Cross multiply
    299,050.40x = 448,057.20 × 193,815.20
  4. Step 4: Simplify right side
    299,050.40x = 86,840,295,829.44
  5. Step 5: Solve for x
    x = 86,840,295,829.44/299,050.40
  6. Step 6: Final answer
    x = 290,386.82

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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.