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Finding the Fourth Proportional to 395,265.53, 545,466.62 and 213,977.47

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Solution

The fourth proportional to 395,265.53, 545,466.62 and 213,977.47 is: 295,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,265.53 : 545,466.62 = 213,977.47 : x
  2. Step 2: Convert to fraction form
    395,265.53/545,466.62 = 213,977.47/x
  3. Step 3: Cross multiply
    395,265.53x = 545,466.62 × 213,977.47
  4. Step 4: Simplify right side
    395,265.53x = 116,717,563,519.83
  5. Step 5: Solve for x
    x = 116,717,563,519.83/395,265.53
  6. Step 6: Final answer
    x = 295,289.00

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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.