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Finding the Fourth Proportional to 394,929.81, 545,000.67 and 213,641.01

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Solution

The fourth proportional to 394,929.81, 545,000.67 and 213,641.01 is: 294,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,929.81 : 545,000.67 = 213,641.01 : x
  2. Step 2: Convert to fraction form
    394,929.81/545,000.67 = 213,641.01/x
  3. Step 3: Cross multiply
    394,929.81x = 545,000.67 × 213,641.01
  4. Step 4: Simplify right side
    394,929.81x = 116,434,493,589.48
  5. Step 5: Solve for x
    x = 116,434,493,589.48/394,929.81
  6. Step 6: Final answer
    x = 294,823.26

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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.