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Finding the Fourth Proportional to 389,912.40, 585,022.20 and 153,214.80

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Solution

The fourth proportional to 389,912.40, 585,022.20 and 153,214.80 is: 229,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,912.40 : 585,022.20 = 153,214.80 : x
  2. Step 2: Convert to fraction form
    389,912.40/585,022.20 = 153,214.80/x
  3. Step 3: Cross multiply
    389,912.40x = 585,022.20 × 153,214.80
  4. Step 4: Simplify right side
    389,912.40x = 89,634,059,368.56
  5. Step 5: Solve for x
    x = 89,634,059,368.56/389,912.40
  6. Step 6: Final answer
    x = 229,882.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.