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Finding the Fourth Proportional to 849,724, 1,274,586 and 258,748

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Solution

The fourth proportional to 849,724, 1,274,586 and 258,748 is: 388,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,724 : 1,274,586 = 258,748 : x
  2. Step 2: Convert to fraction form
    849,724/1,274,586 = 258,748/x
  3. Step 3: Cross multiply
    849,724x = 1,274,586 × 258,748
  4. Step 4: Simplify right side
    849,724x = 329,796,578,328
  5. Step 5: Solve for x
    x = 329,796,578,328/849,724
  6. Step 6: Final answer
    x = 388,122

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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.