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Finding the Fourth Proportional to 849,720, 1,274,580 and 258,744

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Solution

The fourth proportional to 849,720, 1,274,580 and 258,744 is: 388,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,720 : 1,274,580 = 258,744 : x
  2. Step 2: Convert to fraction form
    849,720/1,274,580 = 258,744/x
  3. Step 3: Cross multiply
    849,720x = 1,274,580 × 258,744
  4. Step 4: Simplify right side
    849,720x = 329,789,927,520
  5. Step 5: Solve for x
    x = 329,789,927,520/849,720
  6. Step 6: Final answer
    x = 388,116

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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.