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Finding the Fourth Proportional to 441,167,004.80, 660,475,048.80 and 428,412,420.80

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Solution

The fourth proportional to 441,167,004.80, 660,475,048.80 and 428,412,420.80 is: 641,380,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,167,004.80 : 660,475,048.80 = 428,412,420.80 : x
  2. Step 2: Convert to fraction form
    441,167,004.80/660,475,048.80 = 428,412,420.80/x
  3. Step 3: Cross multiply
    441,167,004.80x = 660,475,048.80 × 428,412,420.80
  4. Step 4: Simplify right side
    441,167,004.80x = 282,955,714,534,406,112
  5. Step 5: Solve for x
    x = 282,955,714,534,406,112/441,167,004.80
  6. Step 6: Final answer
    x = 641,380,047.59

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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.