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Finding the Fourth Proportional to 395,421.71, 545,679.24 and 214,129.49

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Solution

The fourth proportional to 395,421.71, 545,679.24 and 214,129.49 is: 295,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,421.71 : 545,679.24 = 214,129.49 : x
  2. Step 2: Convert to fraction form
    395,421.71/545,679.24 = 214,129.49/x
  3. Step 3: Cross multiply
    395,421.71x = 545,679.24 × 214,129.49
  4. Step 4: Simplify right side
    395,421.71x = 116,846,017,364.79
  5. Step 5: Solve for x
    x = 116,846,017,364.79/395,421.71
  6. Step 6: Final answer
    x = 295,497.22

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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.