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Finding the Fourth Proportional to 384,054.41, 529,954.89 and 211,969.20

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Solution

The fourth proportional to 384,054.41, 529,954.89 and 211,969.20 is: 292,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,054.41 : 529,954.89 = 211,969.20 : x
  2. Step 2: Convert to fraction form
    384,054.41/529,954.89 = 211,969.20/x
  3. Step 3: Cross multiply
    384,054.41x = 529,954.89 × 211,969.20
  4. Step 4: Simplify right side
    384,054.41x = 112,334,114,069.39
  5. Step 5: Solve for x
    x = 112,334,114,069.39/384,054.41
  6. Step 6: Final answer
    x = 292,495.31

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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.