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Finding the Fourth Proportional to 395,270.10, 545,472.60 and 213,981.90

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Solution

The fourth proportional to 395,270.10, 545,472.60 and 213,981.90 is: 295,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,270.10 : 545,472.60 = 213,981.90 : x
  2. Step 2: Convert to fraction form
    395,270.10/545,472.60 = 213,981.90/x
  3. Step 3: Cross multiply
    395,270.10x = 545,472.60 × 213,981.90
  4. Step 4: Simplify right side
    395,270.10x = 116,721,263,345.94
  5. Step 5: Solve for x
    x = 116,721,263,345.94/395,270.10
  6. Step 6: Final answer
    x = 295,294.95

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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.