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Finding the Fourth Proportional to 475,864, 656,750.64 and 274,660

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Solution

The fourth proportional to 475,864, 656,750.64 and 274,660 is: 379,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,864 : 656,750.64 = 274,660 : x
  2. Step 2: Convert to fraction form
    475,864/656,750.64 = 274,660/x
  3. Step 3: Cross multiply
    475,864x = 656,750.64 × 274,660
  4. Step 4: Simplify right side
    475,864x = 180,383,130,782.40
  5. Step 5: Solve for x
    x = 180,383,130,782.40/475,864
  6. Step 6: Final answer
    x = 379,064.46

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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.