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Finding the Fourth Proportional to 274,811.82, 412,218.64 and 97,324

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Solution

The fourth proportional to 274,811.82, 412,218.64 and 97,324 is: 145,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,811.82 : 412,218.64 = 97,324 : x
  2. Step 2: Convert to fraction form
    274,811.82/412,218.64 = 97,324/x
  3. Step 3: Cross multiply
    274,811.82x = 412,218.64 × 97,324
  4. Step 4: Simplify right side
    274,811.82x = 40,118,766,919.36
  5. Step 5: Solve for x
    x = 40,118,766,919.36/274,811.82
  6. Step 6: Final answer
    x = 145,986.32

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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.