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Finding the Fourth Proportional to 494,489.88, 742,039.38 and 194,919.48

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Solution

The fourth proportional to 494,489.88, 742,039.38 and 194,919.48 is: 292,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,489.88 : 742,039.38 = 194,919.48 : x
  2. Step 2: Convert to fraction form
    494,489.88/742,039.38 = 194,919.48/x
  3. Step 3: Cross multiply
    494,489.88x = 742,039.38 × 194,919.48
  4. Step 4: Simplify right side
    494,489.88x = 144,637,930,089.12
  5. Step 5: Solve for x
    x = 144,637,930,089.12/494,489.88
  6. Step 6: Final answer
    x = 292,499.27

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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.