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Finding the Fourth Proportional to 768,242, 1,060,232.66 and 424,144.21

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Solution

The fourth proportional to 768,242, 1,060,232.66 and 424,144.21 is: 585,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,242 : 1,060,232.66 = 424,144.21 : x
  2. Step 2: Convert to fraction form
    768,242/1,060,232.66 = 424,144.21/x
  3. Step 3: Cross multiply
    768,242x = 1,060,232.66 × 424,144.21
  4. Step 4: Simplify right side
    768,242x = 449,691,538,690.74
  5. Step 5: Solve for x
    x = 449,691,538,690.74/768,242
  6. Step 6: Final answer
    x = 585,351.41

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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.