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Finding the Fourth Proportional to 392,790, 542,050.20 and 213,942

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Solution

The fourth proportional to 392,790, 542,050.20 and 213,942 is: 295,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,790 : 542,050.20 = 213,942 : x
  2. Step 2: Convert to fraction form
    392,790/542,050.20 = 213,942/x
  3. Step 3: Cross multiply
    392,790x = 542,050.20 × 213,942
  4. Step 4: Simplify right side
    392,790x = 115,967,303,888.40
  5. Step 5: Solve for x
    x = 115,967,303,888.40/392,790
  6. Step 6: Final answer
    x = 295,239.96

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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.