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Finding the Fourth Proportional to 504,115,999.80, 756,173,999.70 and 423,494,431.80

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Solution

The fourth proportional to 504,115,999.80, 756,173,999.70 and 423,494,431.80 is: 635,241,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,115,999.80 : 756,173,999.70 = 423,494,431.80 : x
  2. Step 2: Convert to fraction form
    504,115,999.80/756,173,999.70 = 423,494,431.80/x
  3. Step 3: Cross multiply
    504,115,999.80x = 756,173,999.70 × 423,494,431.80
  4. Step 4: Simplify right side
    504,115,999.80x = 320,235,478,344,884,928
  5. Step 5: Solve for x
    x = 320,235,478,344,884,928/504,115,999.80
  6. Step 6: Final answer
    x = 635,241,647.70

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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.