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Finding the Fourth Proportional to 392,756.25, 542,003.63 and 213,908.25

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Solution

The fourth proportional to 392,756.25, 542,003.63 and 213,908.25 is: 295,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,756.25 : 542,003.63 = 213,908.25 : x
  2. Step 2: Convert to fraction form
    392,756.25/542,003.63 = 213,908.25/x
  3. Step 3: Cross multiply
    392,756.25x = 542,003.63 × 213,908.25
  4. Step 4: Simplify right side
    392,756.25x = 115,939,046,917.41
  5. Step 5: Solve for x
    x = 115,939,046,917.41/392,756.25
  6. Step 6: Final answer
    x = 295,193.39

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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.