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Finding the Fourth Proportional to 472,393,291.80, 708,589,937.70 and 213,616,954.20

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Solution

The fourth proportional to 472,393,291.80, 708,589,937.70 and 213,616,954.20 is: 320,425,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,291.80 : 708,589,937.70 = 213,616,954.20 : x
  2. Step 2: Convert to fraction form
    472,393,291.80/708,589,937.70 = 213,616,954.20/x
  3. Step 3: Cross multiply
    472,393,291.80x = 708,589,937.70 × 213,616,954.20
  4. Step 4: Simplify right side
    472,393,291.80x = 151,366,824,268,241,760
  5. Step 5: Solve for x
    x = 151,366,824,268,241,760/472,393,291.80
  6. Step 6: Final answer
    x = 320,425,431.30

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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.