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Finding the Fourth Proportional to 395,137,570, 545,289,846.60 and 221,297,314

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Solution

The fourth proportional to 395,137,570, 545,289,846.60 and 221,297,314 is: 305,390,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,137,570 : 545,289,846.60 = 221,297,314 : x
  2. Step 2: Convert to fraction form
    395,137,570/545,289,846.60 = 221,297,314/x
  3. Step 3: Cross multiply
    395,137,570x = 545,289,846.60 × 221,297,314
  4. Step 4: Simplify right side
    395,137,570x = 120,671,178,404,052,032
  5. Step 5: Solve for x
    x = 120,671,178,404,052,032/395,137,570
  6. Step 6: Final answer
    x = 305,390,293.32

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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.