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Finding the Fourth Proportional to 395,499.57, 593,128.09 and 142,749.19

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Solution

The fourth proportional to 395,499.57, 593,128.09 and 142,749.19 is: 214,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,499.57 : 593,128.09 = 142,749.19 : x
  2. Step 2: Convert to fraction form
    395,499.57/593,128.09 = 142,749.19/x
  3. Step 3: Cross multiply
    395,499.57x = 593,128.09 × 142,749.19
  4. Step 4: Simplify right side
    395,499.57x = 84,668,554,413.75
  5. Step 5: Solve for x
    x = 84,668,554,413.75/395,499.57
  6. Step 6: Final answer
    x = 214,080.02

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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.