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Finding the Fourth Proportional to 980,042.56, 1,469,130.72 and 314,728

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Solution

The fourth proportional to 980,042.56, 1,469,130.72 and 314,728 is: 471,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,042.56 : 1,469,130.72 = 314,728 : x
  2. Step 2: Convert to fraction form
    980,042.56/1,469,130.72 = 314,728/x
  3. Step 3: Cross multiply
    980,042.56x = 1,469,130.72 × 314,728
  4. Step 4: Simplify right side
    980,042.56x = 462,376,573,244.16
  5. Step 5: Solve for x
    x = 462,376,573,244.16/980,042.56
  6. Step 6: Final answer
    x = 471,792.34

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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.