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Finding the Fourth Proportional to 395,641.25, 545,985.05 and 214,354.43

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Solution

The fourth proportional to 395,641.25, 545,985.05 and 214,354.43 is: 295,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,641.25 : 545,985.05 = 214,354.43 : x
  2. Step 2: Convert to fraction form
    395,641.25/545,985.05 = 214,354.43/x
  3. Step 3: Cross multiply
    395,641.25x = 545,985.05 × 214,354.43
  4. Step 4: Simplify right side
    395,641.25x = 117,034,310,379.57
  5. Step 5: Solve for x
    x = 117,034,310,379.57/395,641.25
  6. Step 6: Final answer
    x = 295,809.18

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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.