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Finding the Fourth Proportional to 902,790, 1,245,850.38 and 500,382

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Solution

The fourth proportional to 902,790, 1,245,850.38 and 500,382 is: 690,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,790 : 1,245,850.38 = 500,382 : x
  2. Step 2: Convert to fraction form
    902,790/1,245,850.38 = 500,382/x
  3. Step 3: Cross multiply
    902,790x = 1,245,850.38 × 500,382
  4. Step 4: Simplify right side
    902,790x = 623,401,104,845.16
  5. Step 5: Solve for x
    x = 623,401,104,845.16/902,790
  6. Step 6: Final answer
    x = 690,527.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.