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Finding the Fourth Proportional to 395,451.75, 545,720.50 and 214,159.47

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Solution

The fourth proportional to 395,451.75, 545,720.50 and 214,159.47 is: 295,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,451.75 : 545,720.50 = 214,159.47 : x
  2. Step 2: Convert to fraction form
    395,451.75/545,720.50 = 214,159.47/x
  3. Step 3: Cross multiply
    395,451.75x = 545,720.50 × 214,159.47
  4. Step 4: Simplify right side
    395,451.75x = 116,871,213,048.14
  5. Step 5: Solve for x
    x = 116,871,213,048.14/395,451.75
  6. Step 6: Final answer
    x = 295,538.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.