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Finding the Fourth Proportional to 417,942.45, 576,852.44 and 274,715.82

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Solution

The fourth proportional to 417,942.45, 576,852.44 and 274,715.82 is: 379,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,942.45 : 576,852.44 = 274,715.82 : x
  2. Step 2: Convert to fraction form
    417,942.45/576,852.44 = 274,715.82/x
  3. Step 3: Cross multiply
    417,942.45x = 576,852.44 × 274,715.82
  4. Step 4: Simplify right side
    417,942.45x = 158,470,489,700.02
  5. Step 5: Solve for x
    x = 158,470,489,700.02/417,942.45
  6. Step 6: Final answer
    x = 379,168.21

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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.