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Finding the Fourth Proportional to 301,978.47, 416,936.79 and 276,386.64

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Solution

The fourth proportional to 301,978.47, 416,936.79 and 276,386.64 is: 381,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,978.47 : 416,936.79 = 276,386.64 : x
  2. Step 2: Convert to fraction form
    301,978.47/416,936.79 = 276,386.64/x
  3. Step 3: Cross multiply
    301,978.47x = 416,936.79 × 276,386.64
  4. Step 4: Simplify right side
    301,978.47x = 115,235,758,480.49
  5. Step 5: Solve for x
    x = 115,235,758,480.49/301,978.47
  6. Step 6: Final answer
    x = 381,602.56

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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.