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Finding the Fourth Proportional to 378,041.64, 521,697.96 and 205,958.76

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Solution

The fourth proportional to 378,041.64, 521,697.96 and 205,958.76 is: 284,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,041.64 : 521,697.96 = 205,958.76 : x
  2. Step 2: Convert to fraction form
    378,041.64/521,697.96 = 205,958.76/x
  3. Step 3: Cross multiply
    378,041.64x = 521,697.96 × 205,958.76
  4. Step 4: Simplify right side
    378,041.64x = 107,448,264,936.13
  5. Step 5: Solve for x
    x = 107,448,264,936.13/378,041.64
  6. Step 6: Final answer
    x = 284,223.36

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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.