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Finding the Fourth Proportional to 354,814, 489,725.60 and 233,977.12

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Solution

The fourth proportional to 354,814, 489,725.60 and 233,977.12 is: 322,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,814 : 489,725.60 = 233,977.12 : x
  2. Step 2: Convert to fraction form
    354,814/489,725.60 = 233,977.12/x
  3. Step 3: Cross multiply
    354,814x = 489,725.60 × 233,977.12
  4. Step 4: Simplify right side
    354,814x = 114,584,585,478.27
  5. Step 5: Solve for x
    x = 114,584,585,478.27/354,814
  6. Step 6: Final answer
    x = 322,942.68

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1.5x scale

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.