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Finding the Fourth Proportional to 538,697.34, 743,407.11 and 296,988.42

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Solution

The fourth proportional to 538,697.34, 743,407.11 and 296,988.42 is: 409,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,697.34 : 743,407.11 = 296,988.42 : x
  2. Step 2: Convert to fraction form
    538,697.34/743,407.11 = 296,988.42/x
  3. Step 3: Cross multiply
    538,697.34x = 743,407.11 × 296,988.42
  4. Step 4: Simplify right side
    538,697.34x = 220,783,303,015.67
  5. Step 5: Solve for x
    x = 220,783,303,015.67/538,697.34
  6. Step 6: Final answer
    x = 409,846.66

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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.