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Finding the Fourth Proportional to 395,451.66, 545,720.40 and 214,159.38

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Solution

The fourth proportional to 395,451.66, 545,720.40 and 214,159.38 is: 295,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,451.66 : 545,720.40 = 214,159.38 : x
  2. Step 2: Convert to fraction form
    395,451.66/545,720.40 = 214,159.38/x
  3. Step 3: Cross multiply
    395,451.66x = 545,720.40 × 214,159.38
  4. Step 4: Simplify right side
    395,451.66x = 116,871,142,517.35
  5. Step 5: Solve for x
    x = 116,871,142,517.35/395,451.66
  6. Step 6: Final answer
    x = 295,538.38

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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.