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Finding the Fourth Proportional to 306,765.88, 423,271.84 and 193,523

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Solution

The fourth proportional to 306,765.88, 423,271.84 and 193,523 is: 267,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,765.88 : 423,271.84 = 193,523 : x
  2. Step 2: Convert to fraction form
    306,765.88/423,271.84 = 193,523/x
  3. Step 3: Cross multiply
    306,765.88x = 423,271.84 × 193,523
  4. Step 4: Simplify right side
    306,765.88x = 81,912,836,292.32
  5. Step 5: Solve for x
    x = 81,912,836,292.32/306,765.88
  6. Step 6: Final answer
    x = 267,020.69

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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.