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Finding the Fourth Proportional to 395,293.10, 545,508.74 and 214,008.82

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Solution

The fourth proportional to 395,293.10, 545,508.74 and 214,008.82 is: 295,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,293.10 : 545,508.74 = 214,008.82 : x
  2. Step 2: Convert to fraction form
    395,293.10/545,508.74 = 214,008.82/x
  3. Step 3: Cross multiply
    395,293.10x = 545,508.74 × 214,008.82
  4. Step 4: Simplify right side
    395,293.10x = 116,743,680,918.34
  5. Step 5: Solve for x
    x = 116,743,680,918.34/395,293.10
  6. Step 6: Final answer
    x = 295,334.48

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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.