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Finding the Fourth Proportional to 392,756.75, 542,004.32 and 213,908.75

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Solution

The fourth proportional to 392,756.75, 542,004.32 and 213,908.75 is: 295,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,756.75 : 542,004.32 = 213,908.75 : x
  2. Step 2: Convert to fraction form
    392,756.75/542,004.32 = 213,908.75/x
  3. Step 3: Cross multiply
    392,756.75x = 542,004.32 × 213,908.75
  4. Step 4: Simplify right side
    392,756.75x = 115,939,465,516.26
  5. Step 5: Solve for x
    x = 115,939,465,516.26/392,756.75
  6. Step 6: Final answer
    x = 295,194.08

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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.