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Finding the Fourth Proportional to 354,847.12, 489,671.98 and 201,870.96

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Solution

The fourth proportional to 354,847.12, 489,671.98 and 201,870.96 is: 278,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,847.12 : 489,671.98 = 201,870.96 : x
  2. Step 2: Convert to fraction form
    354,847.12/489,671.98 = 201,870.96/x
  3. Step 3: Cross multiply
    354,847.12x = 489,671.98 × 201,870.96
  4. Step 4: Simplify right side
    354,847.12x = 98,850,552,687.70
  5. Step 5: Solve for x
    x = 98,850,552,687.70/354,847.12
  6. Step 6: Final answer
    x = 278,572.23

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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.