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Finding the Fourth Proportional to 499,259.72, 688,983 and 284,396.60

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Solution

The fourth proportional to 499,259.72, 688,983 and 284,396.60 is: 392,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,259.72 : 688,983 = 284,396.60 : x
  2. Step 2: Convert to fraction form
    499,259.72/688,983 = 284,396.60/x
  3. Step 3: Cross multiply
    499,259.72x = 688,983 × 284,396.60
  4. Step 4: Simplify right side
    499,259.72x = 195,944,422,657.80
  5. Step 5: Solve for x
    x = 195,944,422,657.80/499,259.72
  6. Step 6: Final answer
    x = 392,469.92

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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.