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Finding the Fourth Proportional to 492,955.62, 680,285.37 and 278,095.02

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Solution

The fourth proportional to 492,955.62, 680,285.37 and 278,095.02 is: 383,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,955.62 : 680,285.37 = 278,095.02 : x
  2. Step 2: Convert to fraction form
    492,955.62/680,285.37 = 278,095.02/x
  3. Step 3: Cross multiply
    492,955.62x = 680,285.37 × 278,095.02
  4. Step 4: Simplify right side
    492,955.62x = 189,183,973,575.86
  5. Step 5: Solve for x
    x = 189,183,973,575.86/492,955.62
  6. Step 6: Final answer
    x = 383,774.86

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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.