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Finding the Fourth Proportional to 375,313.68, 517,945.32 and 205,557.12

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Solution

The fourth proportional to 375,313.68, 517,945.32 and 205,557.12 is: 283,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,313.68 : 517,945.32 = 205,557.12 : x
  2. Step 2: Convert to fraction form
    375,313.68/517,945.32 = 205,557.12/x
  3. Step 3: Cross multiply
    375,313.68x = 517,945.32 × 205,557.12
  4. Step 4: Simplify right side
    375,313.68x = 106,467,348,296.68
  5. Step 5: Solve for x
    x = 106,467,348,296.68/375,313.68
  6. Step 6: Final answer
    x = 283,675.64

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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.