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Finding the Fourth Proportional to 477,400.36, 715,989.34 and 211,015.72

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Solution

The fourth proportional to 477,400.36, 715,989.34 and 211,015.72 is: 316,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,400.36 : 715,989.34 = 211,015.72 : x
  2. Step 2: Convert to fraction form
    477,400.36/715,989.34 = 211,015.72/x
  3. Step 3: Cross multiply
    477,400.36x = 715,989.34 × 211,015.72
  4. Step 4: Simplify right side
    477,400.36x = 151,085,006,092.43
  5. Step 5: Solve for x
    x = 151,085,006,092.43/477,400.36
  6. Step 6: Final answer
    x = 316,474.43

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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.