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Finding the Fourth Proportional to 299,218.72, 448,400.40 and 219,709.12

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Solution

The fourth proportional to 299,218.72, 448,400.40 and 219,709.12 is: 329,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,218.72 : 448,400.40 = 219,709.12 : x
  2. Step 2: Convert to fraction form
    299,218.72/448,400.40 = 219,709.12/x
  3. Step 3: Cross multiply
    299,218.72x = 448,400.40 × 219,709.12
  4. Step 4: Simplify right side
    299,218.72x = 98,517,657,291.65
  5. Step 5: Solve for x
    x = 98,517,657,291.65/299,218.72
  6. Step 6: Final answer
    x = 329,249.64

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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.