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Finding the Fourth Proportional to 472,392,905.80, 708,589,358.70 and 443,671,472.20

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Solution

The fourth proportional to 472,392,905.80, 708,589,358.70 and 443,671,472.20 is: 665,507,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,905.80 : 708,589,358.70 = 443,671,472.20 : x
  2. Step 2: Convert to fraction form
    472,392,905.80/708,589,358.70 = 443,671,472.20/x
  3. Step 3: Cross multiply
    472,392,905.80x = 708,589,358.70 × 443,671,472.20
  4. Step 4: Simplify right side
    472,392,905.80x = 314,380,883,959,682,880
  5. Step 5: Solve for x
    x = 314,380,883,959,682,880/472,392,905.80
  6. Step 6: Final answer
    x = 665,507,208.30

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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.