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Finding the Fourth Proportional to 477,090.77, 715,102.83 and 206,906.94

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Solution

The fourth proportional to 477,090.77, 715,102.83 and 206,906.94 is: 310,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,090.77 : 715,102.83 = 206,906.94 : x
  2. Step 2: Convert to fraction form
    477,090.77/715,102.83 = 206,906.94/x
  3. Step 3: Cross multiply
    477,090.77x = 715,102.83 × 206,906.94
  4. Step 4: Simplify right side
    477,090.77x = 147,959,738,340.64
  5. Step 5: Solve for x
    x = 147,959,738,340.64/477,090.77
  6. Step 6: Final answer
    x = 310,129.12

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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.