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Finding the Fourth Proportional to 492,781.92, 680,038.09 and 277,921.32

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Solution

The fourth proportional to 492,781.92, 680,038.09 and 277,921.32 is: 383,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,781.92 : 680,038.09 = 277,921.32 : x
  2. Step 2: Convert to fraction form
    492,781.92/680,038.09 = 277,921.32/x
  3. Step 3: Cross multiply
    492,781.92x = 680,038.09 × 277,921.32
  4. Step 4: Simplify right side
    492,781.92x = 188,997,083,623.08
  5. Step 5: Solve for x
    x = 188,997,083,623.08/492,781.92
  6. Step 6: Final answer
    x = 383,530.88

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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.