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Finding the Fourth Proportional to 321,333, 443,429.70 and 176,135.64

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Solution

The fourth proportional to 321,333, 443,429.70 and 176,135.64 is: 243,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,333 : 443,429.70 = 176,135.64 : x
  2. Step 2: Convert to fraction form
    321,333/443,429.70 = 176,135.64/x
  3. Step 3: Cross multiply
    321,333x = 443,429.70 × 176,135.64
  4. Step 4: Simplify right side
    321,333x = 78,103,774,004.51
  5. Step 5: Solve for x
    x = 78,103,774,004.51/321,333
  6. Step 6: Final answer
    x = 243,061.79

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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.