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Finding the Fourth Proportional to 390,538, 538,942.50 and 211,690

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Solution

The fourth proportional to 390,538, 538,942.50 and 211,690 is: 292,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,538 : 538,942.50 = 211,690 : x
  2. Step 2: Convert to fraction form
    390,538/538,942.50 = 211,690/x
  3. Step 3: Cross multiply
    390,538x = 538,942.50 × 211,690
  4. Step 4: Simplify right side
    390,538x = 114,088,737,825
  5. Step 5: Solve for x
    x = 114,088,737,825/390,538
  6. Step 6: Final answer
    x = 292,132.23

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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.