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Finding the Fourth Proportional to 643,727.80, 965,591.70 and 345,129.40

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Solution

The fourth proportional to 643,727.80, 965,591.70 and 345,129.40 is: 517,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,727.80 : 965,591.70 = 345,129.40 : x
  2. Step 2: Convert to fraction form
    643,727.80/965,591.70 = 345,129.40/x
  3. Step 3: Cross multiply
    643,727.80x = 965,591.70 × 345,129.40
  4. Step 4: Simplify right side
    643,727.80x = 333,254,084,065.98
  5. Step 5: Solve for x
    x = 333,254,084,065.98/643,727.80
  6. Step 6: Final answer
    x = 517,694.10

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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.