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Finding the Fourth Proportional to 285,328.54, 428,076.14 and 127,520.09

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Solution

The fourth proportional to 285,328.54, 428,076.14 and 127,520.09 is: 191,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,328.54 : 428,076.14 = 127,520.09 : x
  2. Step 2: Convert to fraction form
    285,328.54/428,076.14 = 127,520.09/x
  3. Step 3: Cross multiply
    285,328.54x = 428,076.14 × 127,520.09
  4. Step 4: Simplify right side
    285,328.54x = 54,588,307,899.65
  5. Step 5: Solve for x
    x = 54,588,307,899.65/285,328.54
  6. Step 6: Final answer
    x = 191,317.38

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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.