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Finding the Fourth Proportional to 285,329.54, 428,077.64 and 127,521.08

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Solution

The fourth proportional to 285,329.54, 428,077.64 and 127,521.08 is: 191,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,329.54 : 428,077.64 = 127,521.08 : x
  2. Step 2: Convert to fraction form
    285,329.54/428,077.64 = 127,521.08/x
  3. Step 3: Cross multiply
    285,329.54x = 428,077.64 × 127,521.08
  4. Step 4: Simplify right side
    285,329.54x = 54,588,922,976.65
  5. Step 5: Solve for x
    x = 54,588,922,976.65/285,329.54
  6. Step 6: Final answer
    x = 191,318.86

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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.