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Finding the Fourth Proportional to 543,906, 815,275.80 and 262,803.60

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Solution

The fourth proportional to 543,906, 815,275.80 and 262,803.60 is: 393,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,906 : 815,275.80 = 262,803.60 : x
  2. Step 2: Convert to fraction form
    543,906/815,275.80 = 262,803.60/x
  3. Step 3: Cross multiply
    543,906x = 815,275.80 × 262,803.60
  4. Step 4: Simplify right side
    543,906x = 214,257,415,232.88
  5. Step 5: Solve for x
    x = 214,257,415,232.88/543,906
  6. Step 6: Final answer
    x = 393,923.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.