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Finding the Fourth Proportional to 472,393,669.20, 708,590,503.80 and 416,911,228.80

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Solution

The fourth proportional to 472,393,669.20, 708,590,503.80 and 416,911,228.80 is: 625,366,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,669.20 : 708,590,503.80 = 416,911,228.80 : x
  2. Step 2: Convert to fraction form
    472,393,669.20/708,590,503.80 = 416,911,228.80/x
  3. Step 3: Cross multiply
    472,393,669.20x = 708,590,503.80 × 416,911,228.80
  4. Step 4: Simplify right side
    472,393,669.20x = 295,419,337,655,269,056
  5. Step 5: Solve for x
    x = 295,419,337,655,269,056/472,393,669.20
  6. Step 6: Final answer
    x = 625,366,843.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.