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Finding the Fourth Proportional to 285,402.35, 394,119.95 and 213,657.81

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Solution

The fourth proportional to 285,402.35, 394,119.95 and 213,657.81 is: 295,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,402.35 : 394,119.95 = 213,657.81 : x
  2. Step 2: Convert to fraction form
    285,402.35/394,119.95 = 213,657.81/x
  3. Step 3: Cross multiply
    285,402.35x = 394,119.95 × 213,657.81
  4. Step 4: Simplify right side
    285,402.35x = 84,206,804,326.02
  5. Step 5: Solve for x
    x = 84,206,804,326.02/285,402.35
  6. Step 6: Final answer
    x = 295,045.94

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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.