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Finding the Fourth Proportional to 538,802.95, 743,655.83 and 309,517.53

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Solution

The fourth proportional to 538,802.95, 743,655.83 and 309,517.53 is: 427,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,802.95 : 743,655.83 = 309,517.53 : x
  2. Step 2: Convert to fraction form
    538,802.95/743,655.83 = 309,517.53/x
  3. Step 3: Cross multiply
    538,802.95x = 743,655.83 × 309,517.53
  4. Step 4: Simplify right side
    538,802.95x = 230,174,515,671.70
  5. Step 5: Solve for x
    x = 230,174,515,671.70/538,802.95
  6. Step 6: Final answer
    x = 427,196.09

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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.