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Finding the Fourth Proportional to 980,728, 1,471,092 and 315,880

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Solution

The fourth proportional to 980,728, 1,471,092 and 315,880 is: 473,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,728 : 1,471,092 = 315,880 : x
  2. Step 2: Convert to fraction form
    980,728/1,471,092 = 315,880/x
  3. Step 3: Cross multiply
    980,728x = 1,471,092 × 315,880
  4. Step 4: Simplify right side
    980,728x = 464,688,540,960
  5. Step 5: Solve for x
    x = 464,688,540,960/980,728
  6. Step 6: Final answer
    x = 473,820

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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.