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Finding the Fourth Proportional to 469,713.88, 648,196.98 and 285,886

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Solution

The fourth proportional to 469,713.88, 648,196.98 and 285,886 is: 394,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,713.88 : 648,196.98 = 285,886 : x
  2. Step 2: Convert to fraction form
    469,713.88/648,196.98 = 285,886/x
  3. Step 3: Cross multiply
    469,713.88x = 648,196.98 × 285,886
  4. Step 4: Simplify right side
    469,713.88x = 185,310,441,824.28
  5. Step 5: Solve for x
    x = 185,310,441,824.28/469,713.88
  6. Step 6: Final answer
    x = 394,517.70

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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.