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Finding the Fourth Proportional to 285,536.40, 428,304.60 and 180,013.20

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Solution

The fourth proportional to 285,536.40, 428,304.60 and 180,013.20 is: 270,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,536.40 : 428,304.60 = 180,013.20 : x
  2. Step 2: Convert to fraction form
    285,536.40/428,304.60 = 180,013.20/x
  3. Step 3: Cross multiply
    285,536.40x = 428,304.60 × 180,013.20
  4. Step 4: Simplify right side
    285,536.40x = 77,100,481,620.72
  5. Step 5: Solve for x
    x = 77,100,481,620.72/285,536.40
  6. Step 6: Final answer
    x = 270,019.80

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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.