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Finding the Fourth Proportional to 472,392,709.80, 708,589,064.70 and 213,616,372.20

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Solution

The fourth proportional to 472,392,709.80, 708,589,064.70 and 213,616,372.20 is: 320,424,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,709.80 : 708,589,064.70 = 213,616,372.20 : x
  2. Step 2: Convert to fraction form
    472,392,709.80/708,589,064.70 = 213,616,372.20/x
  3. Step 3: Cross multiply
    472,392,709.80x = 708,589,064.70 × 213,616,372.20
  4. Step 4: Simplify right side
    472,392,709.80x = 151,366,225,381,805,088
  5. Step 5: Solve for x
    x = 151,366,225,381,805,088/472,392,709.80
  6. Step 6: Final answer
    x = 320,424,558.30

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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.