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Finding the Fourth Proportional to 921,608, 1,382,491.20 and 256,760

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Solution

The fourth proportional to 921,608, 1,382,491.20 and 256,760 is: 385,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,608 : 1,382,491.20 = 256,760 : x
  2. Step 2: Convert to fraction form
    921,608/1,382,491.20 = 256,760/x
  3. Step 3: Cross multiply
    921,608x = 1,382,491.20 × 256,760
  4. Step 4: Simplify right side
    921,608x = 354,968,440,512
  5. Step 5: Solve for x
    x = 354,968,440,512/921,608
  6. Step 6: Final answer
    x = 385,162.07

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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.