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Finding the Fourth Proportional to 647,352, 971,028 and 204,120

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Solution

The fourth proportional to 647,352, 971,028 and 204,120 is: 306,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352 : 971,028 = 204,120 : x
  2. Step 2: Convert to fraction form
    647,352/971,028 = 204,120/x
  3. Step 3: Cross multiply
    647,352x = 971,028 × 204,120
  4. Step 4: Simplify right side
    647,352x = 198,206,235,360
  5. Step 5: Solve for x
    x = 198,206,235,360/647,352
  6. Step 6: Final answer
    x = 306,180

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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.