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Finding the Fourth Proportional to 490,591,327.95, 735,509,811.56 and 253,987,209.86

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Solution

The fourth proportional to 490,591,327.95, 735,509,811.56 and 253,987,209.86 is: 380,785,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,591,327.95 : 735,509,811.56 = 253,987,209.86 : x
  2. Step 2: Convert to fraction form
    490,591,327.95/735,509,811.56 = 253,987,209.86/x
  3. Step 3: Cross multiply
    490,591,327.95x = 735,509,811.56 × 253,987,209.86
  4. Step 4: Simplify right side
    490,591,327.95x = 186,810,084,857,831,264
  5. Step 5: Solve for x
    x = 186,810,084,857,831,264/490,591,327.95
  6. Step 6: Final answer
    x = 380,785,542.29

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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.