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Finding the Fourth Proportional to 509,729.50, 703,427.52 and 283,375

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Solution

The fourth proportional to 509,729.50, 703,427.52 and 283,375 is: 391,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,729.50 : 703,427.52 = 283,375 : x
  2. Step 2: Convert to fraction form
    509,729.50/703,427.52 = 283,375/x
  3. Step 3: Cross multiply
    509,729.50x = 703,427.52 × 283,375
  4. Step 4: Simplify right side
    509,729.50x = 199,333,773,480
  5. Step 5: Solve for x
    x = 199,333,773,480/509,729.50
  6. Step 6: Final answer
    x = 391,057.95

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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.