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Finding the Fourth Proportional to 278,108.76, 383,761.68 and 170,683.32

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Solution

The fourth proportional to 278,108.76, 383,761.68 and 170,683.32 is: 235,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,108.76 : 383,761.68 = 170,683.32 : x
  2. Step 2: Convert to fraction form
    278,108.76/383,761.68 = 170,683.32/x
  3. Step 3: Cross multiply
    278,108.76x = 383,761.68 × 170,683.32
  4. Step 4: Simplify right side
    278,108.76x = 65,501,717,631.18
  5. Step 5: Solve for x
    x = 65,501,717,631.18/278,108.76
  6. Step 6: Final answer
    x = 235,525.55

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1.5x scale

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.