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Finding the Fourth Proportional to 395,469.40, 593,088.90 and 142,720.60

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Solution

The fourth proportional to 395,469.40, 593,088.90 and 142,720.60 is: 214,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,469.40 : 593,088.90 = 142,720.60 : x
  2. Step 2: Convert to fraction form
    395,469.40/593,088.90 = 142,720.60/x
  3. Step 3: Cross multiply
    395,469.40x = 593,088.90 × 142,720.60
  4. Step 4: Simplify right side
    395,469.40x = 84,646,003,661.34
  5. Step 5: Solve for x
    x = 84,646,003,661.34/395,469.40
  6. Step 6: Final answer
    x = 214,039.33

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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.