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Finding the Fourth Proportional to 354,825.54, 489,670.85 and 193,689.20

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Solution

The fourth proportional to 354,825.54, 489,670.85 and 193,689.20 is: 267,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,825.54 : 489,670.85 = 193,689.20 : x
  2. Step 2: Convert to fraction form
    354,825.54/489,670.85 = 193,689.20/x
  3. Step 3: Cross multiply
    354,825.54x = 489,670.85 × 193,689.20
  4. Step 4: Simplify right side
    354,825.54x = 94,843,955,199.82
  5. Step 5: Solve for x
    x = 94,843,955,199.82/354,825.54
  6. Step 6: Final answer
    x = 267,297.43

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1.5x scale

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.