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Finding the Fourth Proportional to 395,352.55, 545,584.20 and 214,060.75

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Solution

The fourth proportional to 395,352.55, 545,584.20 and 214,060.75 is: 295,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,352.55 : 545,584.20 = 214,060.75 : x
  2. Step 2: Convert to fraction form
    395,352.55/545,584.20 = 214,060.75/x
  3. Step 3: Cross multiply
    395,352.55x = 545,584.20 × 214,060.75
  4. Step 4: Simplify right side
    395,352.55x = 116,788,163,040.15
  5. Step 5: Solve for x
    x = 116,788,163,040.15/395,352.55
  6. Step 6: Final answer
    x = 295,402.58

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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.