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Finding the Fourth Proportional to 257,223.76, 355,092 and 171,325.68

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Solution

The fourth proportional to 257,223.76, 355,092 and 171,325.68 is: 236,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.76 : 355,092 = 171,325.68 : x
  2. Step 2: Convert to fraction form
    257,223.76/355,092 = 171,325.68/x
  3. Step 3: Cross multiply
    257,223.76x = 355,092 × 171,325.68
  4. Step 4: Simplify right side
    257,223.76x = 60,836,378,362.56
  5. Step 5: Solve for x
    x = 60,836,378,362.56/257,223.76
  6. Step 6: Final answer
    x = 236,511.50

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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.