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Finding the Fourth Proportional to 375,374.28, 518,023.26 and 205,597.47

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Solution

The fourth proportional to 375,374.28, 518,023.26 and 205,597.47 is: 283,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,374.28 : 518,023.26 = 205,597.47 : x
  2. Step 2: Convert to fraction form
    375,374.28/518,023.26 = 205,597.47/x
  3. Step 3: Cross multiply
    375,374.28x = 518,023.26 × 205,597.47
  4. Step 4: Simplify right side
    375,374.28x = 106,504,271,657.15
  5. Step 5: Solve for x
    x = 106,504,271,657.15/375,374.28
  6. Step 6: Final answer
    x = 283,728.21

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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.