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Finding the Fourth Proportional to 849,722, 1,274,583 and 258,746

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Solution

The fourth proportional to 849,722, 1,274,583 and 258,746 is: 388,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,722 : 1,274,583 = 258,746 : x
  2. Step 2: Convert to fraction form
    849,722/1,274,583 = 258,746/x
  3. Step 3: Cross multiply
    849,722x = 1,274,583 × 258,746
  4. Step 4: Simplify right side
    849,722x = 329,793,252,918
  5. Step 5: Solve for x
    x = 329,793,252,918/849,722
  6. Step 6: Final answer
    x = 388,119

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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.