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Finding the Fourth Proportional to 509,879.61, 703,634.45 and 283,520.25

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Solution

The fourth proportional to 509,879.61, 703,634.45 and 283,520.25 is: 391,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,879.61 : 703,634.45 = 283,520.25 : x
  2. Step 2: Convert to fraction form
    509,879.61/703,634.45 = 283,520.25/x
  3. Step 3: Cross multiply
    509,879.61x = 703,634.45 × 283,520.25
  4. Step 4: Simplify right side
    509,879.61x = 199,494,613,755.01
  5. Step 5: Solve for x
    x = 199,494,613,755.01/509,879.61
  6. Step 6: Final answer
    x = 391,258.27

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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.