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Finding the Fourth Proportional to 354,398.82, 489,052.61 and 201,416.79

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Solution

The fourth proportional to 354,398.82, 489,052.61 and 201,416.79 is: 277,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,398.82 : 489,052.61 = 201,416.79 : x
  2. Step 2: Convert to fraction form
    354,398.82/489,052.61 = 201,416.79/x
  3. Step 3: Cross multiply
    354,398.82x = 489,052.61 × 201,416.79
  4. Step 4: Simplify right side
    354,398.82x = 98,503,408,429.50
  5. Step 5: Solve for x
    x = 98,503,408,429.50/354,398.82
  6. Step 6: Final answer
    x = 277,945.08

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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.