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Finding the Fourth Proportional to 307,764.94, 424,737.10 and 171,825.60

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Solution

The fourth proportional to 307,764.94, 424,737.10 and 171,825.60 is: 237,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.94 : 424,737.10 = 171,825.60 : x
  2. Step 2: Convert to fraction form
    307,764.94/424,737.10 = 171,825.60/x
  3. Step 3: Cross multiply
    307,764.94x = 424,737.10 × 171,825.60
  4. Step 4: Simplify right side
    307,764.94x = 72,980,707,049.76
  5. Step 5: Solve for x
    x = 72,980,707,049.76/307,764.94
  6. Step 6: Final answer
    x = 237,131.32

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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.