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Finding the Fourth Proportional to 354,728.10, 489,540.72 and 199,732.74

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Solution

The fourth proportional to 354,728.10, 489,540.72 and 199,732.74 is: 275,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,728.10 : 489,540.72 = 199,732.74 : x
  2. Step 2: Convert to fraction form
    354,728.10/489,540.72 = 199,732.74/x
  3. Step 3: Cross multiply
    354,728.10x = 489,540.72 × 199,732.74
  4. Step 4: Simplify right side
    354,728.10x = 97,777,309,347.17
  5. Step 5: Solve for x
    x = 97,777,309,347.17/354,728.10
  6. Step 6: Final answer
    x = 275,640.16

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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.