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Finding the Fourth Proportional to 395,433.68, 545,698.96 and 214,145.88

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Solution

The fourth proportional to 395,433.68, 545,698.96 and 214,145.88 is: 295,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,433.68 : 545,698.96 = 214,145.88 : x
  2. Step 2: Convert to fraction form
    395,433.68/545,698.96 = 214,145.88/x
  3. Step 3: Cross multiply
    395,433.68x = 545,698.96 × 214,145.88
  4. Step 4: Simplify right side
    395,433.68x = 116,859,184,004.29
  5. Step 5: Solve for x
    x = 116,859,184,004.29/395,433.68
  6. Step 6: Final answer
    x = 295,521.58

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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.