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Finding the Fourth Proportional to 825,280, 1,237,992 and 234,304

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Solution

The fourth proportional to 825,280, 1,237,992 and 234,304 is: 351,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,280 : 1,237,992 = 234,304 : x
  2. Step 2: Convert to fraction form
    825,280/1,237,992 = 234,304/x
  3. Step 3: Cross multiply
    825,280x = 1,237,992 × 234,304
  4. Step 4: Simplify right side
    825,280x = 290,066,477,568
  5. Step 5: Solve for x
    x = 290,066,477,568/825,280
  6. Step 6: Final answer
    x = 351,476.44

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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.