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Finding the Fourth Proportional to 354,408.84, 489,065.64 and 201,426.60

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Solution

The fourth proportional to 354,408.84, 489,065.64 and 201,426.60 is: 277,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,408.84 : 489,065.64 = 201,426.60 : x
  2. Step 2: Convert to fraction form
    354,408.84/489,065.64 = 201,426.60/x
  3. Step 3: Cross multiply
    354,408.84x = 489,065.64 × 201,426.60
  4. Step 4: Simplify right side
    354,408.84x = 98,510,829,042.02
  5. Step 5: Solve for x
    x = 98,510,829,042.02/354,408.84
  6. Step 6: Final answer
    x = 277,958.16

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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.