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Finding the Fourth Proportional to 472,393,079.40, 708,589,619.10 and 265,768,818.60

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Solution

The fourth proportional to 472,393,079.40, 708,589,619.10 and 265,768,818.60 is: 398,653,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,079.40 : 708,589,619.10 = 265,768,818.60 : x
  2. Step 2: Convert to fraction form
    472,393,079.40/708,589,619.10 = 265,768,818.60/x
  3. Step 3: Cross multiply
    472,393,079.40x = 708,589,619.10 × 265,768,818.60
  4. Step 4: Simplify right side
    472,393,079.40x = 188,321,025,940,431,008
  5. Step 5: Solve for x
    x = 188,321,025,940,431,008/472,393,079.40
  6. Step 6: Final answer
    x = 398,653,227.90

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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.