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Finding the Fourth Proportional to 395,043.06, 545,158.31 and 213,758.06

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Solution

The fourth proportional to 395,043.06, 545,158.31 and 213,758.06 is: 294,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,043.06 : 545,158.31 = 213,758.06 : x
  2. Step 2: Convert to fraction form
    395,043.06/545,158.31 = 213,758.06/x
  3. Step 3: Cross multiply
    395,043.06x = 545,158.31 × 213,758.06
  4. Step 4: Simplify right side
    395,043.06x = 116,531,981,909.98
  5. Step 5: Solve for x
    x = 116,531,981,909.98/395,043.06
  6. Step 6: Final answer
    x = 294,985.52

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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.