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Finding the Fourth Proportional to 726,470, 1,089,705 and 201,158

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Solution

The fourth proportional to 726,470, 1,089,705 and 201,158 is: 301,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,470 : 1,089,705 = 201,158 : x
  2. Step 2: Convert to fraction form
    726,470/1,089,705 = 201,158/x
  3. Step 3: Cross multiply
    726,470x = 1,089,705 × 201,158
  4. Step 4: Simplify right side
    726,470x = 219,202,878,390
  5. Step 5: Solve for x
    x = 219,202,878,390/726,470
  6. Step 6: Final answer
    x = 301,737

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.