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Finding the Fourth Proportional to 354,425.22, 489,353.40 and 286,742.43

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Solution

The fourth proportional to 354,425.22, 489,353.40 and 286,742.43 is: 395,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,425.22 : 489,353.40 = 286,742.43 : x
  2. Step 2: Convert to fraction form
    354,425.22/489,353.40 = 286,742.43/x
  3. Step 3: Cross multiply
    354,425.22x = 489,353.40 × 286,742.43
  4. Step 4: Simplify right side
    354,425.22x = 140,318,383,044.76
  5. Step 5: Solve for x
    x = 140,318,383,044.76/354,425.22
  6. Step 6: Final answer
    x = 395,904.06

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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.