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Finding the Fourth Proportional to 278,102.86, 383,779.68 and 157,267.90

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Solution

The fourth proportional to 278,102.86, 383,779.68 and 157,267.90 is: 217,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,102.86 : 383,779.68 = 157,267.90 : x
  2. Step 2: Convert to fraction form
    278,102.86/383,779.68 = 157,267.90/x
  3. Step 3: Cross multiply
    278,102.86x = 383,779.68 × 157,267.90
  4. Step 4: Simplify right side
    278,102.86x = 60,356,224,336.27
  5. Step 5: Solve for x
    x = 60,356,224,336.27/278,102.86
  6. Step 6: Final answer
    x = 217,028.42

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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.