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Finding the Fourth Proportional to 498,997.62, 688,623.29 and 284,138.54

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Solution

The fourth proportional to 498,997.62, 688,623.29 and 284,138.54 is: 392,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,997.62 : 688,623.29 = 284,138.54 : x
  2. Step 2: Convert to fraction form
    498,997.62/688,623.29 = 284,138.54/x
  3. Step 3: Cross multiply
    498,997.62x = 688,623.29 × 284,138.54
  4. Step 4: Simplify right side
    498,997.62x = 195,664,415,014.64
  5. Step 5: Solve for x
    x = 195,664,415,014.64/498,997.62
  6. Step 6: Final answer
    x = 392,114.93

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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.