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Finding the Fourth Proportional to 468,446.87, 646,305.14 and 286,969.43

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Solution

The fourth proportional to 468,446.87, 646,305.14 and 286,969.43 is: 395,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,446.87 : 646,305.14 = 286,969.43 : x
  2. Step 2: Convert to fraction form
    468,446.87/646,305.14 = 286,969.43/x
  3. Step 3: Cross multiply
    468,446.87x = 646,305.14 × 286,969.43
  4. Step 4: Simplify right side
    468,446.87x = 185,469,815,117.77
  5. Step 5: Solve for x
    x = 185,469,815,117.77/468,446.87
  6. Step 6: Final answer
    x = 395,924.98

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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.