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Finding the Fourth Proportional to 419,662,530.40, 629,541,034.80 and 128,527,340.80

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Solution

The fourth proportional to 419,662,530.40, 629,541,034.80 and 128,527,340.80 is: 192,805,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,662,530.40 : 629,541,034.80 = 128,527,340.80 : x
  2. Step 2: Convert to fraction form
    419,662,530.40/629,541,034.80 = 128,527,340.80/x
  3. Step 3: Cross multiply
    419,662,530.40x = 629,541,034.80 × 128,527,340.80
  4. Step 4: Simplify right side
    419,662,530.40x = 80,913,235,127,324,256
  5. Step 5: Solve for x
    x = 80,913,235,127,324,256/419,662,530.40
  6. Step 6: Final answer
    x = 192,805,478.85

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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.