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Finding the Fourth Proportional to 642,542.12, 886,731 and 387,843.56

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Solution

The fourth proportional to 642,542.12, 886,731 and 387,843.56 is: 535,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,542.12 : 886,731 = 387,843.56 : x
  2. Step 2: Convert to fraction form
    642,542.12/886,731 = 387,843.56/x
  3. Step 3: Cross multiply
    642,542.12x = 886,731 × 387,843.56
  4. Step 4: Simplify right side
    642,542.12x = 343,912,907,802.36
  5. Step 5: Solve for x
    x = 343,912,907,802.36/642,542.12
  6. Step 6: Final answer
    x = 535,237.92

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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.