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Finding the Fourth Proportional to 492,986.96, 680,319.96 and 278,127.08

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Solution

The fourth proportional to 492,986.96, 680,319.96 and 278,127.08 is: 383,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,986.96 : 680,319.96 = 278,127.08 : x
  2. Step 2: Convert to fraction form
    492,986.96/680,319.96 = 278,127.08/x
  3. Step 3: Cross multiply
    492,986.96x = 680,319.96 × 278,127.08
  4. Step 4: Simplify right side
    492,986.96x = 189,215,403,940.52
  5. Step 5: Solve for x
    x = 189,215,403,940.52/492,986.96
  6. Step 6: Final answer
    x = 383,814.22

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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.