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Finding the Fourth Proportional to 278,591.90, 384,446.04 and 151,264.58

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Solution

The fourth proportional to 278,591.90, 384,446.04 and 151,264.58 is: 208,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,591.90 : 384,446.04 = 151,264.58 : x
  2. Step 2: Convert to fraction form
    278,591.90/384,446.04 = 151,264.58/x
  3. Step 3: Cross multiply
    278,591.90x = 384,446.04 × 151,264.58
  4. Step 4: Simplify right side
    278,591.90x = 58,153,068,773.26
  5. Step 5: Solve for x
    x = 58,153,068,773.26/278,591.90
  6. Step 6: Final answer
    x = 208,739.27

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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.