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Finding the Fourth Proportional to 379,422.54, 523,599.39 and 209,653.02

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Solution

The fourth proportional to 379,422.54, 523,599.39 and 209,653.02 is: 289,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,422.54 : 523,599.39 = 209,653.02 : x
  2. Step 2: Convert to fraction form
    379,422.54/523,599.39 = 209,653.02/x
  3. Step 3: Cross multiply
    379,422.54x = 523,599.39 × 209,653.02
  4. Step 4: Simplify right side
    379,422.54x = 109,774,193,383.66
  5. Step 5: Solve for x
    x = 109,774,193,383.66/379,422.54
  6. Step 6: Final answer
    x = 289,319.11

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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.