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Finding the Fourth Proportional to 643,997.80, 965,996.70 and 407,607.40

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Solution

The fourth proportional to 643,997.80, 965,996.70 and 407,607.40 is: 611,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,997.80 : 965,996.70 = 407,607.40 : x
  2. Step 2: Convert to fraction form
    643,997.80/965,996.70 = 407,607.40/x
  3. Step 3: Cross multiply
    643,997.80x = 965,996.70 × 407,607.40
  4. Step 4: Simplify right side
    643,997.80x = 393,747,403,295.58
  5. Step 5: Solve for x
    x = 393,747,403,295.58/643,997.80
  6. Step 6: Final answer
    x = 611,411.10

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Similar ratio
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1.5x scale

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.