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Finding the Fourth Proportional to 647,360, 971,040 and 204,128

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Solution

The fourth proportional to 647,360, 971,040 and 204,128 is: 306,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,360 : 971,040 = 204,128 : x
  2. Step 2: Convert to fraction form
    647,360/971,040 = 204,128/x
  3. Step 3: Cross multiply
    647,360x = 971,040 × 204,128
  4. Step 4: Simplify right side
    647,360x = 198,216,453,120
  5. Step 5: Solve for x
    x = 198,216,453,120/647,360
  6. Step 6: Final answer
    x = 306,192

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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.