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Finding the Fourth Proportional to 643,965.20, 965,947.80 and 404,464.40

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Solution

The fourth proportional to 643,965.20, 965,947.80 and 404,464.40 is: 606,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,965.20 : 965,947.80 = 404,464.40 : x
  2. Step 2: Convert to fraction form
    643,965.20/965,947.80 = 404,464.40/x
  3. Step 3: Cross multiply
    643,965.20x = 965,947.80 × 404,464.40
  4. Step 4: Simplify right side
    643,965.20x = 390,691,497,358.32
  5. Step 5: Solve for x
    x = 390,691,497,358.32/643,965.20
  6. Step 6: Final answer
    x = 606,696.60

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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.