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Finding the Fourth Proportional to 289,407.11, 399,162.24 and 253,534.86

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Solution

The fourth proportional to 289,407.11, 399,162.24 and 253,534.86 is: 349,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,407.11 : 399,162.24 = 253,534.86 : x
  2. Step 2: Convert to fraction form
    289,407.11/399,162.24 = 253,534.86/x
  3. Step 3: Cross multiply
    289,407.11x = 399,162.24 × 253,534.86
  4. Step 4: Simplify right side
    289,407.11x = 101,201,542,635.69
  5. Step 5: Solve for x
    x = 101,201,542,635.69/289,407.11
  6. Step 6: Final answer
    x = 349,685.76

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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.