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Finding the Fourth Proportional to 285,389.47, 394,102.20 and 213,644.93

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Solution

The fourth proportional to 285,389.47, 394,102.20 and 213,644.93 is: 295,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,389.47 : 394,102.20 = 213,644.93 : x
  2. Step 2: Convert to fraction form
    285,389.47/394,102.20 = 213,644.93/x
  3. Step 3: Cross multiply
    285,389.47x = 394,102.20 × 213,644.93
  4. Step 4: Simplify right side
    285,389.47x = 84,197,936,931.85
  5. Step 5: Solve for x
    x = 84,197,936,931.85/285,389.47
  6. Step 6: Final answer
    x = 295,028.19

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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.