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Finding the Fourth Proportional to 394,279.42, 543,915.93 and 258,254.50

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Solution

The fourth proportional to 394,279.42, 543,915.93 and 258,254.50 is: 356,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,279.42 : 543,915.93 = 258,254.50 : x
  2. Step 2: Convert to fraction form
    394,279.42/543,915.93 = 258,254.50/x
  3. Step 3: Cross multiply
    394,279.42x = 543,915.93 × 258,254.50
  4. Step 4: Simplify right side
    394,279.42x = 140,468,736,544.19
  5. Step 5: Solve for x
    x = 140,468,736,544.19/394,279.42
  6. Step 6: Final answer
    x = 356,266.98

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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.