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Finding the Fourth Proportional to 472,394,347.20, 708,591,520.80 and 414,998,719.20

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Solution

The fourth proportional to 472,394,347.20, 708,591,520.80 and 414,998,719.20 is: 622,498,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,347.20 : 708,591,520.80 = 414,998,719.20 : x
  2. Step 2: Convert to fraction form
    472,394,347.20/708,591,520.80 = 414,998,719.20/x
  3. Step 3: Cross multiply
    472,394,347.20x = 708,591,520.80 × 414,998,719.20
  4. Step 4: Simplify right side
    472,394,347.20x = 294,064,573,567,980,160
  5. Step 5: Solve for x
    x = 294,064,573,567,980,160/472,394,347.20
  6. Step 6: Final answer
    x = 622,498,078.80

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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.