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Finding the Fourth Proportional to 395,390.69, 545,641.74 and 214,102.64

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Solution

The fourth proportional to 395,390.69, 545,641.74 and 214,102.64 is: 295,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,390.69 : 545,641.74 = 214,102.64 : x
  2. Step 2: Convert to fraction form
    395,390.69/545,641.74 = 214,102.64/x
  3. Step 3: Cross multiply
    395,390.69x = 545,641.74 × 214,102.64
  4. Step 4: Simplify right side
    395,390.69x = 116,823,334,299.99
  5. Step 5: Solve for x
    x = 116,823,334,299.99/395,390.69
  6. Step 6: Final answer
    x = 295,463.04

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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.