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Finding the Fourth Proportional to 321,819.76, 444,075.24 and 178,585.84

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Solution

The fourth proportional to 321,819.76, 444,075.24 and 178,585.84 is: 246,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,819.76 : 444,075.24 = 178,585.84 : x
  2. Step 2: Convert to fraction form
    321,819.76/444,075.24 = 178,585.84/x
  3. Step 3: Cross multiply
    321,819.76x = 444,075.24 × 178,585.84
  4. Step 4: Simplify right side
    321,819.76x = 79,305,549,758.60
  5. Step 5: Solve for x
    x = 79,305,549,758.60/321,819.76
  6. Step 6: Final answer
    x = 246,428.47

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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.