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Finding the Fourth Proportional to 538,465.61, 743,098.13 and 296,763.77

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Solution

The fourth proportional to 538,465.61, 743,098.13 and 296,763.77 is: 409,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,465.61 : 743,098.13 = 296,763.77 : x
  2. Step 2: Convert to fraction form
    538,465.61/743,098.13 = 296,763.77/x
  3. Step 3: Cross multiply
    538,465.61x = 743,098.13 × 296,763.77
  4. Step 4: Simplify right side
    538,465.61x = 220,524,597,339.44
  5. Step 5: Solve for x
    x = 220,524,597,339.44/538,465.61
  6. Step 6: Final answer
    x = 409,542.59

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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.