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Finding the Fourth Proportional to 383,939.10, 575,908.65 and 257,967.90

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Solution

The fourth proportional to 383,939.10, 575,908.65 and 257,967.90 is: 386,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,939.10 : 575,908.65 = 257,967.90 : x
  2. Step 2: Convert to fraction form
    383,939.10/575,908.65 = 257,967.90/x
  3. Step 3: Cross multiply
    383,939.10x = 575,908.65 × 257,967.90
  4. Step 4: Simplify right side
    383,939.10x = 148,565,945,032.34
  5. Step 5: Solve for x
    x = 148,565,945,032.34/383,939.10
  6. Step 6: Final answer
    x = 386,951.85

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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.