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Finding the Fourth Proportional to 538,703.34, 743,415.78 and 296,994.78

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Solution

The fourth proportional to 538,703.34, 743,415.78 and 296,994.78 is: 409,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,703.34 : 743,415.78 = 296,994.78 : x
  2. Step 2: Convert to fraction form
    538,703.34/743,415.78 = 296,994.78/x
  3. Step 3: Cross multiply
    538,703.34x = 743,415.78 × 296,994.78
  4. Step 4: Simplify right side
    538,703.34x = 220,790,606,029.63
  5. Step 5: Solve for x
    x = 220,790,606,029.63/538,703.34
  6. Step 6: Final answer
    x = 409,855.65

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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.