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Finding the Fourth Proportional to 285,403.34, 394,121.35 and 213,658.82

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Solution

The fourth proportional to 285,403.34, 394,121.35 and 213,658.82 is: 295,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,403.34 : 394,121.35 = 213,658.82 : x
  2. Step 2: Convert to fraction form
    285,403.34/394,121.35 = 213,658.82/x
  3. Step 3: Cross multiply
    285,403.34x = 394,121.35 × 213,658.82
  4. Step 4: Simplify right side
    285,403.34x = 84,207,502,577.81
  5. Step 5: Solve for x
    x = 84,207,502,577.81/285,403.34
  6. Step 6: Final answer
    x = 295,047.36

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1.5x scale

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.