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Finding the Fourth Proportional to 498,203,790.90, 747,305,686.35 and 191,505,909.30

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Solution

The fourth proportional to 498,203,790.90, 747,305,686.35 and 191,505,909.30 is: 287,258,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,203,790.90 : 747,305,686.35 = 191,505,909.30 : x
  2. Step 2: Convert to fraction form
    498,203,790.90/747,305,686.35 = 191,505,909.30/x
  3. Step 3: Cross multiply
    498,203,790.90x = 747,305,686.35 × 191,505,909.30
  4. Step 4: Simplify right side
    498,203,790.90x = 143,113,454,989,517,360
  5. Step 5: Solve for x
    x = 143,113,454,989,517,360/498,203,790.90
  6. Step 6: Final answer
    x = 287,258,863.95

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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.