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Finding the Fourth Proportional to 642,261.84, 886,309.74 and 355,781.04

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Solution

The fourth proportional to 642,261.84, 886,309.74 and 355,781.04 is: 490,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,261.84 : 886,309.74 = 355,781.04 : x
  2. Step 2: Convert to fraction form
    642,261.84/886,309.74 = 355,781.04/x
  3. Step 3: Cross multiply
    642,261.84x = 886,309.74 × 355,781.04
  4. Step 4: Simplify right side
    642,261.84x = 315,332,201,059.33
  5. Step 5: Solve for x
    x = 315,332,201,059.33/642,261.84
  6. Step 6: Final answer
    x = 490,971.41

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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.