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Finding the Fourth Proportional to 417,825.82, 576,028.36 and 286,999.48

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Solution

The fourth proportional to 417,825.82, 576,028.36 and 286,999.48 is: 395,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,825.82 : 576,028.36 = 286,999.48 : x
  2. Step 2: Convert to fraction form
    417,825.82/576,028.36 = 286,999.48/x
  3. Step 3: Cross multiply
    417,825.82x = 576,028.36 × 286,999.48
  4. Step 4: Simplify right side
    417,825.82x = 165,319,839,785.25
  5. Step 5: Solve for x
    x = 165,319,839,785.25/417,825.82
  6. Step 6: Final answer
    x = 395,666.88

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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.