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Finding the Fourth Proportional to 299,065.78, 448,785.42 and 199,295.98

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Solution

The fourth proportional to 299,065.78, 448,785.42 and 199,295.98 is: 299,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,065.78 : 448,785.42 = 199,295.98 : x
  2. Step 2: Convert to fraction form
    299,065.78/448,785.42 = 199,295.98/x
  3. Step 3: Cross multiply
    299,065.78x = 448,785.42 × 199,295.98
  4. Step 4: Simplify right side
    299,065.78x = 89,441,128,219.29
  5. Step 5: Solve for x
    x = 89,441,128,219.29/299,065.78
  6. Step 6: Final answer
    x = 299,068.41

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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.