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Finding the Fourth Proportional to 472,394,335.80, 708,591,503.70 and 326,992,078.20

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Solution

The fourth proportional to 472,394,335.80, 708,591,503.70 and 326,992,078.20 is: 490,488,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,335.80 : 708,591,503.70 = 326,992,078.20 : x
  2. Step 2: Convert to fraction form
    472,394,335.80/708,591,503.70 = 326,992,078.20/x
  3. Step 3: Cross multiply
    472,394,335.80x = 708,591,503.70 × 326,992,078.20
  4. Step 4: Simplify right side
    472,394,335.80x = 231,703,808,389,725,984
  5. Step 5: Solve for x
    x = 231,703,808,389,725,984/472,394,335.80
  6. Step 6: Final answer
    x = 490,488,117.30

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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.