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Finding the Fourth Proportional to 394,993.42, 592,490.13 and 217,409.02

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Solution

The fourth proportional to 394,993.42, 592,490.13 and 217,409.02 is: 326,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,993.42 : 592,490.13 = 217,409.02 : x
  2. Step 2: Convert to fraction form
    394,993.42/592,490.13 = 217,409.02/x
  3. Step 3: Cross multiply
    394,993.42x = 592,490.13 × 217,409.02
  4. Step 4: Simplify right side
    394,993.42x = 128,812,698,522.97
  5. Step 5: Solve for x
    x = 128,812,698,522.97/394,993.42
  6. Step 6: Final answer
    x = 326,113.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.