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Finding the Fourth Proportional to 1,294,720, 1,942,080 and 408,256

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Solution

The fourth proportional to 1,294,720, 1,942,080 and 408,256 is: 612,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,720 : 1,942,080 = 408,256 : x
  2. Step 2: Convert to fraction form
    1,294,720/1,942,080 = 408,256/x
  3. Step 3: Cross multiply
    1,294,720x = 1,942,080 × 408,256
  4. Step 4: Simplify right side
    1,294,720x = 792,865,812,480
  5. Step 5: Solve for x
    x = 792,865,812,480/1,294,720
  6. Step 6: Final answer
    x = 612,384

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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.