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Finding the Fourth Proportional to 377,636.82, 521,152.56 and 205,546.47

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Solution

The fourth proportional to 377,636.82, 521,152.56 and 205,546.47 is: 283,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,636.82 : 521,152.56 = 205,546.47 : x
  2. Step 2: Convert to fraction form
    377,636.82/521,152.56 = 205,546.47/x
  3. Step 3: Cross multiply
    377,636.82x = 521,152.56 × 205,546.47
  4. Step 4: Simplify right side
    377,636.82x = 107,121,069,039.46
  5. Step 5: Solve for x
    x = 107,121,069,039.46/377,636.82
  6. Step 6: Final answer
    x = 283,661.61

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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.