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Finding the Fourth Proportional to 299,898.40, 449,329.20 and 194,663.20

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Solution

The fourth proportional to 299,898.40, 449,329.20 and 194,663.20 is: 291,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,898.40 : 449,329.20 = 194,663.20 : x
  2. Step 2: Convert to fraction form
    299,898.40/449,329.20 = 194,663.20/x
  3. Step 3: Cross multiply
    299,898.40x = 449,329.20 × 194,663.20
  4. Step 4: Simplify right side
    299,898.40x = 87,467,859,925.44
  5. Step 5: Solve for x
    x = 87,467,859,925.44/299,898.40
  6. Step 6: Final answer
    x = 291,658.31

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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.