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Finding the Fourth Proportional to 354,915.47, 489,784.46 and 227,591.57

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Solution

The fourth proportional to 354,915.47, 489,784.46 and 227,591.57 is: 314,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,915.47 : 489,784.46 = 227,591.57 : x
  2. Step 2: Convert to fraction form
    354,915.47/489,784.46 = 227,591.57/x
  3. Step 3: Cross multiply
    354,915.47x = 489,784.46 × 227,591.57
  4. Step 4: Simplify right side
    354,915.47x = 111,470,810,626.12
  5. Step 5: Solve for x
    x = 111,470,810,626.12/354,915.47
  6. Step 6: Final answer
    x = 314,077.07

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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.