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Finding the Fourth Proportional to 339,957, 469,140.66 and 189,054

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Solution

The fourth proportional to 339,957, 469,140.66 and 189,054 is: 260,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,957 : 469,140.66 = 189,054 : x
  2. Step 2: Convert to fraction form
    339,957/469,140.66 = 189,054/x
  3. Step 3: Cross multiply
    339,957x = 469,140.66 × 189,054
  4. Step 4: Simplify right side
    339,957x = 88,692,918,335.64
  5. Step 5: Solve for x
    x = 88,692,918,335.64/339,957
  6. Step 6: Final answer
    x = 260,894.52

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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.