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Finding the Fourth Proportional to 285,400.85, 394,117.91 and 213,656.31

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Solution

The fourth proportional to 285,400.85, 394,117.91 and 213,656.31 is: 295,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,400.85 : 394,117.91 = 213,656.31 : x
  2. Step 2: Convert to fraction form
    285,400.85/394,117.91 = 213,656.31/x
  3. Step 3: Cross multiply
    285,400.85x = 394,117.91 × 213,656.31
  4. Step 4: Simplify right side
    285,400.85x = 84,205,778,355.51
  5. Step 5: Solve for x
    x = 84,205,778,355.51/285,400.85
  6. Step 6: Final answer
    x = 295,043.89

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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.