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Finding the Fourth Proportional to 321,394, 443,477.16 and 178,154

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Solution

The fourth proportional to 321,394, 443,477.16 and 178,154 is: 245,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,394 : 443,477.16 = 178,154 : x
  2. Step 2: Convert to fraction form
    321,394/443,477.16 = 178,154/x
  3. Step 3: Cross multiply
    321,394x = 443,477.16 × 178,154
  4. Step 4: Simplify right side
    321,394x = 79,007,229,962.64
  5. Step 5: Solve for x
    x = 79,007,229,962.64/321,394
  6. Step 6: Final answer
    x = 245,826.71

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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.