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Finding the Fourth Proportional to 538,465.86, 743,098.46 and 296,764

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Solution

The fourth proportional to 538,465.86, 743,098.46 and 296,764 is: 409,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,465.86 : 743,098.46 = 296,764 : x
  2. Step 2: Convert to fraction form
    538,465.86/743,098.46 = 296,764/x
  3. Step 3: Cross multiply
    538,465.86x = 743,098.46 × 296,764
  4. Step 4: Simplify right side
    538,465.86x = 220,524,871,383.44
  5. Step 5: Solve for x
    x = 220,524,871,383.44/538,465.86
  6. Step 6: Final answer
    x = 409,542.90

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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.