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Finding the Fourth Proportional to 611,406.08, 917,093.76 and 212,332.80

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Solution

The fourth proportional to 611,406.08, 917,093.76 and 212,332.80 is: 318,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,406.08 : 917,093.76 = 212,332.80 : x
  2. Step 2: Convert to fraction form
    611,406.08/917,093.76 = 212,332.80/x
  3. Step 3: Cross multiply
    611,406.08x = 917,093.76 × 212,332.80
  4. Step 4: Simplify right side
    611,406.08x = 194,729,085,923.33
  5. Step 5: Solve for x
    x = 194,729,085,923.33/611,406.08
  6. Step 6: Final answer
    x = 318,493.87

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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.