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Finding the Fourth Proportional to 299,196.48, 412,931.19 and 190,311.42

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Solution

The fourth proportional to 299,196.48, 412,931.19 and 190,311.42 is: 262,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,196.48 : 412,931.19 = 190,311.42 : x
  2. Step 2: Convert to fraction form
    299,196.48/412,931.19 = 190,311.42/x
  3. Step 3: Cross multiply
    299,196.48x = 412,931.19 × 190,311.42
  4. Step 4: Simplify right side
    299,196.48x = 78,585,521,131.19
  5. Step 5: Solve for x
    x = 78,585,521,131.19/299,196.48
  6. Step 6: Final answer
    x = 262,655.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.