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Finding the Fourth Proportional to 285,466.40, 428,199.60 and 179,943.20

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Solution

The fourth proportional to 285,466.40, 428,199.60 and 179,943.20 is: 269,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466.40 : 428,199.60 = 179,943.20 : x
  2. Step 2: Convert to fraction form
    285,466.40/428,199.60 = 179,943.20/x
  3. Step 3: Cross multiply
    285,466.40x = 428,199.60 × 179,943.20
  4. Step 4: Simplify right side
    285,466.40x = 77,051,606,262.72
  5. Step 5: Solve for x
    x = 77,051,606,262.72/285,466.40
  6. Step 6: Final answer
    x = 269,914.80

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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.