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Finding the Fourth Proportional to 395,137, 545,297.70 and 216,289

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Solution

The fourth proportional to 395,137, 545,297.70 and 216,289 is: 298,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,137 : 545,297.70 = 216,289 : x
  2. Step 2: Convert to fraction form
    395,137/545,297.70 = 216,289/x
  3. Step 3: Cross multiply
    395,137x = 545,297.70 × 216,289
  4. Step 4: Simplify right side
    395,137x = 117,941,894,235.30
  5. Step 5: Solve for x
    x = 117,941,894,235.30/395,137
  6. Step 6: Final answer
    x = 298,483.55

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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.