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Finding the Fourth Proportional to 285,865.50, 428,798.25 and 119,653.50

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Solution

The fourth proportional to 285,865.50, 428,798.25 and 119,653.50 is: 179,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,865.50 : 428,798.25 = 119,653.50 : x
  2. Step 2: Convert to fraction form
    285,865.50/428,798.25 = 119,653.50/x
  3. Step 3: Cross multiply
    285,865.50x = 428,798.25 × 119,653.50
  4. Step 4: Simplify right side
    285,865.50x = 51,307,211,406.38
  5. Step 5: Solve for x
    x = 51,307,211,406.38/285,865.50
  6. Step 6: Final answer
    x = 179,480.25

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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.