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Finding the Fourth Proportional to 643,101.80, 964,790.94 and 216,680

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Solution

The fourth proportional to 643,101.80, 964,790.94 and 216,680 is: 325,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,101.80 : 964,790.94 = 216,680 : x
  2. Step 2: Convert to fraction form
    643,101.80/964,790.94 = 216,680/x
  3. Step 3: Cross multiply
    643,101.80x = 964,790.94 × 216,680
  4. Step 4: Simplify right side
    643,101.80x = 209,050,900,879.20
  5. Step 5: Solve for x
    x = 209,050,900,879.20/643,101.80
  6. Step 6: Final answer
    x = 325,066.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.