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Finding the Fourth Proportional to 492,854.96, 680,124.58 and 277,991.92

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Solution

The fourth proportional to 492,854.96, 680,124.58 and 277,991.92 is: 383,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,854.96 : 680,124.58 = 277,991.92 : x
  2. Step 2: Convert to fraction form
    492,854.96/680,124.58 = 277,991.92/x
  3. Step 3: Cross multiply
    492,854.96x = 680,124.58 × 277,991.92
  4. Step 4: Simplify right side
    492,854.96x = 189,069,137,833.39
  5. Step 5: Solve for x
    x = 189,069,137,833.39/492,854.96
  6. Step 6: Final answer
    x = 383,620.24

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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.