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Finding the Fourth Proportional to 472,392,605.80, 708,588,908.70 and 456,520,234.60

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Solution

The fourth proportional to 472,392,605.80, 708,588,908.70 and 456,520,234.60 is: 684,780,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,605.80 : 708,588,908.70 = 456,520,234.60 : x
  2. Step 2: Convert to fraction form
    472,392,605.80/708,588,908.70 = 456,520,234.60/x
  3. Step 3: Cross multiply
    472,392,605.80x = 708,588,908.70 × 456,520,234.60
  4. Step 4: Simplify right side
    472,392,605.80x = 323,485,174,834,682,048
  5. Step 5: Solve for x
    x = 323,485,174,834,682,048/472,392,605.80
  6. Step 6: Final answer
    x = 684,780,351.90

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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.