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Finding the Fourth Proportional to 285,469.14, 428,203.71 and 119,140.50

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Solution

The fourth proportional to 285,469.14, 428,203.71 and 119,140.50 is: 178,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,469.14 : 428,203.71 = 119,140.50 : x
  2. Step 2: Convert to fraction form
    285,469.14/428,203.71 = 119,140.50/x
  3. Step 3: Cross multiply
    285,469.14x = 428,203.71 × 119,140.50
  4. Step 4: Simplify right side
    285,469.14x = 51,016,404,111.26
  5. Step 5: Solve for x
    x = 51,016,404,111.26/285,469.14
  6. Step 6: Final answer
    x = 178,710.75

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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.