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Finding the Fourth Proportional to 421,591.41, 581,781.64 and 240,361.70

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Solution

The fourth proportional to 421,591.41, 581,781.64 and 240,361.70 is: 331,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,591.41 : 581,781.64 = 240,361.70 : x
  2. Step 2: Convert to fraction form
    421,591.41/581,781.64 = 240,361.70/x
  3. Step 3: Cross multiply
    421,591.41x = 581,781.64 × 240,361.70
  4. Step 4: Simplify right side
    421,591.41x = 139,838,025,868.84
  5. Step 5: Solve for x
    x = 139,838,025,868.84/421,591.41
  6. Step 6: Final answer
    x = 331,690.88

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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.