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Finding the Fourth Proportional to 383,910.30, 575,865.45 and 257,939.10

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Solution

The fourth proportional to 383,910.30, 575,865.45 and 257,939.10 is: 386,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,910.30 : 575,865.45 = 257,939.10 : x
  2. Step 2: Convert to fraction form
    383,910.30/575,865.45 = 257,939.10/x
  3. Step 3: Cross multiply
    383,910.30x = 575,865.45 × 257,939.10
  4. Step 4: Simplify right side
    383,910.30x = 148,538,215,894.10
  5. Step 5: Solve for x
    x = 148,538,215,894.10/383,910.30
  6. Step 6: Final answer
    x = 386,908.65

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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.