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Finding the Fourth Proportional to 394,952.31, 545,031.72 and 213,663.51

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Solution

The fourth proportional to 394,952.31, 545,031.72 and 213,663.51 is: 294,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,952.31 : 545,031.72 = 213,663.51 : x
  2. Step 2: Convert to fraction form
    394,952.31/545,031.72 = 213,663.51/x
  3. Step 3: Cross multiply
    394,952.31x = 545,031.72 × 213,663.51
  4. Step 4: Simplify right side
    394,952.31x = 116,453,390,356.54
  5. Step 5: Solve for x
    x = 116,453,390,356.54/394,952.31
  6. Step 6: Final answer
    x = 294,854.31

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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.