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Finding the Fourth Proportional to 299,315.10, 448,972.65 and 215,662.35

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Solution

The fourth proportional to 299,315.10, 448,972.65 and 215,662.35 is: 323,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,315.10 : 448,972.65 = 215,662.35 : x
  2. Step 2: Convert to fraction form
    299,315.10/448,972.65 = 215,662.35/x
  3. Step 3: Cross multiply
    299,315.10x = 448,972.65 × 215,662.35
  4. Step 4: Simplify right side
    299,315.10x = 96,826,496,784.73
  5. Step 5: Solve for x
    x = 96,826,496,784.73/299,315.10
  6. Step 6: Final answer
    x = 323,493.53

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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.