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Finding the Fourth Proportional to 354,408.29, 489,095.70 and 201,452.89

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Solution

The fourth proportional to 354,408.29, 489,095.70 and 201,452.89 is: 278,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,408.29 : 489,095.70 = 201,452.89 : x
  2. Step 2: Convert to fraction form
    354,408.29/489,095.70 = 201,452.89/x
  3. Step 3: Cross multiply
    354,408.29x = 489,095.70 × 201,452.89
  4. Step 4: Simplify right side
    354,408.29x = 98,529,742,251.57
  5. Step 5: Solve for x
    x = 98,529,742,251.57/354,408.29
  6. Step 6: Final answer
    x = 278,011.96

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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.