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Finding the Fourth Proportional to 538,697.85, 743,408.78 and 296,989.08

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Solution

The fourth proportional to 538,697.85, 743,408.78 and 296,989.08 is: 409,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,697.85 : 743,408.78 = 296,989.08 : x
  2. Step 2: Convert to fraction form
    538,697.85/743,408.78 = 296,989.08/x
  3. Step 3: Cross multiply
    538,697.85x = 743,408.78 × 296,989.08
  4. Step 4: Simplify right side
    538,697.85x = 220,784,288,151.18
  5. Step 5: Solve for x
    x = 220,784,288,151.18/538,697.85
  6. Step 6: Final answer
    x = 409,848.10

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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.