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Finding the Fourth Proportional to 354,912.47, 489,780.32 and 227,588.57

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Solution

The fourth proportional to 354,912.47, 489,780.32 and 227,588.57 is: 314,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,912.47 : 489,780.32 = 227,588.57 : x
  2. Step 2: Convert to fraction form
    354,912.47/489,780.32 = 227,588.57/x
  3. Step 3: Cross multiply
    354,912.47x = 489,780.32 × 227,588.57
  4. Step 4: Simplify right side
    354,912.47x = 111,468,399,056.10
  5. Step 5: Solve for x
    x = 111,468,399,056.10/354,912.47
  6. Step 6: Final answer
    x = 314,072.93

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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.