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Finding the Fourth Proportional to 492,894.14, 680,214.58 and 278,034.14

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Solution

The fourth proportional to 492,894.14, 680,214.58 and 278,034.14 is: 383,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,894.14 : 680,214.58 = 278,034.14 : x
  2. Step 2: Convert to fraction form
    492,894.14/680,214.58 = 278,034.14/x
  3. Step 3: Cross multiply
    492,894.14x = 680,214.58 × 278,034.14
  4. Step 4: Simplify right side
    492,894.14x = 189,122,875,765.76
  5. Step 5: Solve for x
    x = 189,122,875,765.76/492,894.14
  6. Step 6: Final answer
    x = 383,698.77

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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.