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Finding the Fourth Proportional to 472,394,310.30, 708,591,465.45 and 288,728,300.70

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Solution

The fourth proportional to 472,394,310.30, 708,591,465.45 and 288,728,300.70 is: 433,092,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,310.30 : 708,591,465.45 = 288,728,300.70 : x
  2. Step 2: Convert to fraction form
    472,394,310.30/708,591,465.45 = 288,728,300.70/x
  3. Step 3: Cross multiply
    472,394,310.30x = 708,591,465.45 × 288,728,300.70
  4. Step 4: Simplify right side
    472,394,310.30x = 204,590,409,709,901,280
  5. Step 5: Solve for x
    x = 204,590,409,709,901,280/472,394,310.30
  6. Step 6: Final answer
    x = 433,092,451.05

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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.