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Finding the Fourth Proportional to 492,830.56, 680,105.20 and 277,969.96

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Solution

The fourth proportional to 492,830.56, 680,105.20 and 277,969.96 is: 383,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,830.56 : 680,105.20 = 277,969.96 : x
  2. Step 2: Convert to fraction form
    492,830.56/680,105.20 = 277,969.96/x
  3. Step 3: Cross multiply
    492,830.56x = 680,105.20 × 277,969.96
  4. Step 4: Simplify right side
    492,830.56x = 189,048,815,239.79
  5. Step 5: Solve for x
    x = 189,048,815,239.79/492,830.56
  6. Step 6: Final answer
    x = 383,598.00

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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.