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Finding the Fourth Proportional to 683,381.76, 942,816.96 and 428,640

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Solution

The fourth proportional to 683,381.76, 942,816.96 and 428,640 is: 591,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,381.76 : 942,816.96 = 428,640 : x
  2. Step 2: Convert to fraction form
    683,381.76/942,816.96 = 428,640/x
  3. Step 3: Cross multiply
    683,381.76x = 942,816.96 × 428,640
  4. Step 4: Simplify right side
    683,381.76x = 404,129,061,734.40
  5. Step 5: Solve for x
    x = 404,129,061,734.40/683,381.76
  6. Step 6: Final answer
    x = 591,366.47

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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.