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Finding the Fourth Proportional to 379,449.76, 569,040.40 and 166,321.12

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Solution

The fourth proportional to 379,449.76, 569,040.40 and 166,321.12 is: 249,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,449.76 : 569,040.40 = 166,321.12 : x
  2. Step 2: Convert to fraction form
    379,449.76/569,040.40 = 166,321.12/x
  3. Step 3: Cross multiply
    379,449.76x = 569,040.40 × 166,321.12
  4. Step 4: Simplify right side
    379,449.76x = 94,643,436,653.25
  5. Step 5: Solve for x
    x = 94,643,436,653.25/379,449.76
  6. Step 6: Final answer
    x = 249,422.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.