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Finding the Fourth Proportional to 493,428.60, 680,893.47 and 278,589.87

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Solution

The fourth proportional to 493,428.60, 680,893.47 and 278,589.87 is: 384,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,428.60 : 680,893.47 = 278,589.87 : x
  2. Step 2: Convert to fraction form
    493,428.60/680,893.47 = 278,589.87/x
  3. Step 3: Cross multiply
    493,428.60x = 680,893.47 × 278,589.87
  4. Step 4: Simplify right side
    493,428.60x = 189,690,023,291.15
  5. Step 5: Solve for x
    x = 189,690,023,291.15/493,428.60
  6. Step 6: Final answer
    x = 384,432.57

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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.