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Finding the Fourth Proportional to 472,392,912.60, 708,589,368.90 and 265,768,651.80

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Solution

The fourth proportional to 472,392,912.60, 708,589,368.90 and 265,768,651.80 is: 398,652,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,912.60 : 708,589,368.90 = 265,768,651.80 : x
  2. Step 2: Convert to fraction form
    472,392,912.60/708,589,368.90 = 265,768,651.80/x
  3. Step 3: Cross multiply
    472,392,912.60x = 708,589,368.90 × 265,768,651.80
  4. Step 4: Simplify right side
    472,392,912.60x = 188,320,841,252,365,856
  5. Step 5: Solve for x
    x = 188,320,841,252,365,856/472,392,912.60
  6. Step 6: Final answer
    x = 398,652,977.70

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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.