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Finding the Fourth Proportional to 394,934.31, 545,006.88 and 213,645.51

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Solution

The fourth proportional to 394,934.31, 545,006.88 and 213,645.51 is: 294,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,934.31 : 545,006.88 = 213,645.51 : x
  2. Step 2: Convert to fraction form
    394,934.31/545,006.88 = 213,645.51/x
  3. Step 3: Cross multiply
    394,934.31x = 545,006.88 × 213,645.51
  4. Step 4: Simplify right side
    394,934.31x = 116,438,272,831.11
  5. Step 5: Solve for x
    x = 116,438,272,831.11/394,934.31
  6. Step 6: Final answer
    x = 294,829.47

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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.