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Finding the Fourth Proportional to 643,470.40, 965,320.80 and 269,531.20

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Solution

The fourth proportional to 643,470.40, 965,320.80 and 269,531.20 is: 404,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,470.40 : 965,320.80 = 269,531.20 : x
  2. Step 2: Convert to fraction form
    643,470.40/965,320.80 = 269,531.20/x
  3. Step 3: Cross multiply
    643,470.40x = 965,320.80 × 269,531.20
  4. Step 4: Simplify right side
    643,470.40x = 260,184,073,608.96
  5. Step 5: Solve for x
    x = 260,184,073,608.96/643,470.40
  6. Step 6: Final answer
    x = 404,345.05

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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.