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Finding the Fourth Proportional to 490,591,319.95, 735,509,799.58 and 253,987,201.86

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Solution

The fourth proportional to 490,591,319.95, 735,509,799.58 and 253,987,201.86 is: 380,785,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,591,319.95 : 735,509,799.58 = 253,987,201.86 : x
  2. Step 2: Convert to fraction form
    490,591,319.95/735,509,799.58 = 253,987,201.86/x
  3. Step 3: Cross multiply
    490,591,319.95x = 735,509,799.58 × 253,987,201.86
  4. Step 4: Simplify right side
    490,591,319.95x = 186,810,075,930,986,112
  5. Step 5: Solve for x
    x = 186,810,075,930,986,112/490,591,319.95
  6. Step 6: Final answer
    x = 380,785,530.31

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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.