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Finding the Fourth Proportional to 378,362.95, 522,137.41 and 208,597.07

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Solution

The fourth proportional to 378,362.95, 522,137.41 and 208,597.07 is: 287,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,362.95 : 522,137.41 = 208,597.07 : x
  2. Step 2: Convert to fraction form
    378,362.95/522,137.41 = 208,597.07/x
  3. Step 3: Cross multiply
    378,362.95x = 522,137.41 × 208,597.07
  4. Step 4: Simplify right side
    378,362.95x = 108,916,334,647.24
  5. Step 5: Solve for x
    x = 108,916,334,647.24/378,362.95
  6. Step 6: Final answer
    x = 287,862.05

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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.