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Finding the Fourth Proportional to 469,471.41, 647,811.14 and 278,447.49

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Solution

The fourth proportional to 469,471.41, 647,811.14 and 278,447.49 is: 384,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,471.41 : 647,811.14 = 278,447.49 : x
  2. Step 2: Convert to fraction form
    469,471.41/647,811.14 = 278,447.49/x
  3. Step 3: Cross multiply
    469,471.41x = 647,811.14 × 278,447.49
  4. Step 4: Simplify right side
    469,471.41x = 180,381,384,534.80
  5. Step 5: Solve for x
    x = 180,381,384,534.80/469,471.41
  6. Step 6: Final answer
    x = 384,222.30

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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.