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Finding the Fourth Proportional to 395,370.96, 545,612.94 and 214,085.13

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Solution

The fourth proportional to 395,370.96, 545,612.94 and 214,085.13 is: 295,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,370.96 : 545,612.94 = 214,085.13 : x
  2. Step 2: Convert to fraction form
    395,370.96/545,612.94 = 214,085.13/x
  3. Step 3: Cross multiply
    395,370.96x = 545,612.94 × 214,085.13
  4. Step 4: Simplify right side
    395,370.96x = 116,807,617,189.58
  5. Step 5: Solve for x
    x = 116,807,617,189.58/395,370.96
  6. Step 6: Final answer
    x = 295,438.03

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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.