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Finding the Fourth Proportional to 394,323.91, 544,167.25 and 213,035.74

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Solution

The fourth proportional to 394,323.91, 544,167.25 and 213,035.74 is: 293,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,323.91 : 544,167.25 = 213,035.74 : x
  2. Step 2: Convert to fraction form
    394,323.91/544,167.25 = 213,035.74/x
  3. Step 3: Cross multiply
    394,323.91x = 544,167.25 × 213,035.74
  4. Step 4: Simplify right side
    394,323.91x = 115,927,070,894.51
  5. Step 5: Solve for x
    x = 115,927,070,894.51/394,323.91
  6. Step 6: Final answer
    x = 293,989.46

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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.