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Finding the Fourth Proportional to 309,986.24, 427,527.24 and 218,409.08

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Solution

The fourth proportional to 309,986.24, 427,527.24 and 218,409.08 is: 301,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,986.24 : 427,527.24 = 218,409.08 : x
  2. Step 2: Convert to fraction form
    309,986.24/427,527.24 = 218,409.08/x
  3. Step 3: Cross multiply
    309,986.24x = 427,527.24 × 218,409.08
  4. Step 4: Simplify right side
    309,986.24x = 93,375,831,163.34
  5. Step 5: Solve for x
    x = 93,375,831,163.34/309,986.24
  6. Step 6: Final answer
    x = 301,225.73

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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.