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Finding the Fourth Proportional to 472,393,136.40, 708,589,704.60 and 265,768,875.60

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Solution

The fourth proportional to 472,393,136.40, 708,589,704.60 and 265,768,875.60 is: 398,653,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,136.40 : 708,589,704.60 = 265,768,875.60 : x
  2. Step 2: Convert to fraction form
    472,393,136.40/708,589,704.60 = 265,768,875.60/x
  3. Step 3: Cross multiply
    472,393,136.40x = 708,589,704.60 × 265,768,875.60
  4. Step 4: Simplify right side
    472,393,136.40x = 188,321,089,053,278,144
  5. Step 5: Solve for x
    x = 188,321,089,053,278,144/472,393,136.40
  6. Step 6: Final answer
    x = 398,653,313.40

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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.