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Finding the Fourth Proportional to 321,678.58, 443,907.86 and 185,707.94

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Solution

The fourth proportional to 321,678.58, 443,907.86 and 185,707.94 is: 256,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.58 : 443,907.86 = 185,707.94 : x
  2. Step 2: Convert to fraction form
    321,678.58/443,907.86 = 185,707.94/x
  3. Step 3: Cross multiply
    321,678.58x = 443,907.86 × 185,707.94
  4. Step 4: Simplify right side
    321,678.58x = 82,437,214,230.41
  5. Step 5: Solve for x
    x = 82,437,214,230.41/321,678.58
  6. Step 6: Final answer
    x = 256,272.00

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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.