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Finding the Fourth Proportional to 307,969.75, 424,956.27 and 171,986.32

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Solution

The fourth proportional to 307,969.75, 424,956.27 and 171,986.32 is: 237,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,969.75 : 424,956.27 = 171,986.32 : x
  2. Step 2: Convert to fraction form
    307,969.75/424,956.27 = 171,986.32/x
  3. Step 3: Cross multiply
    307,969.75x = 424,956.27 × 171,986.32
  4. Step 4: Simplify right side
    307,969.75x = 73,086,665,038.23
  5. Step 5: Solve for x
    x = 73,086,665,038.23/307,969.75
  6. Step 6: Final answer
    x = 237,317.67

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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.