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Finding the Fourth Proportional to 212,989.86, 294,102.90 and 190,288.80

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Solution

The fourth proportional to 212,989.86, 294,102.90 and 190,288.80 is: 262,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,989.86 : 294,102.90 = 190,288.80 : x
  2. Step 2: Convert to fraction form
    212,989.86/294,102.90 = 190,288.80/x
  3. Step 3: Cross multiply
    212,989.86x = 294,102.90 × 190,288.80
  4. Step 4: Simplify right side
    212,989.86x = 55,964,487,917.52
  5. Step 5: Solve for x
    x = 55,964,487,917.52/212,989.86
  6. Step 6: Final answer
    x = 262,756.58

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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.