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Finding the Fourth Proportional to 321,430.56, 443,564.40 and 178,182

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Solution

The fourth proportional to 321,430.56, 443,564.40 and 178,182 is: 245,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,430.56 : 443,564.40 = 178,182 : x
  2. Step 2: Convert to fraction form
    321,430.56/443,564.40 = 178,182/x
  3. Step 3: Cross multiply
    321,430.56x = 443,564.40 × 178,182
  4. Step 4: Simplify right side
    321,430.56x = 79,035,191,920.80
  5. Step 5: Solve for x
    x = 79,035,191,920.80/321,430.56
  6. Step 6: Final answer
    x = 245,885.74

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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.