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Finding the Fourth Proportional to 395,070.48, 545,193.45 and 213,778.44

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Solution

The fourth proportional to 395,070.48, 545,193.45 and 213,778.44 is: 295,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,070.48 : 545,193.45 = 213,778.44 : x
  2. Step 2: Convert to fraction form
    395,070.48/545,193.45 = 213,778.44/x
  3. Step 3: Cross multiply
    395,070.48x = 545,193.45 × 213,778.44
  4. Step 4: Simplify right side
    395,070.48x = 116,550,605,239.22
  5. Step 5: Solve for x
    x = 116,550,605,239.22/395,070.48
  6. Step 6: Final answer
    x = 295,012.18

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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.