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Finding the Fourth Proportional to 256,245,631.20, 384,368,446.80 and 213,163,480.80

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Solution

The fourth proportional to 256,245,631.20, 384,368,446.80 and 213,163,480.80 is: 319,745,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,245,631.20 : 384,368,446.80 = 213,163,480.80 : x
  2. Step 2: Convert to fraction form
    256,245,631.20/384,368,446.80 = 213,163,480.80/x
  3. Step 3: Cross multiply
    256,245,631.20x = 384,368,446.80 × 213,163,480.80
  4. Step 4: Simplify right side
    256,245,631.20x = 81,933,316,029,577,632
  5. Step 5: Solve for x
    x = 81,933,316,029,577,632/256,245,631.20
  6. Step 6: Final answer
    x = 319,745,221.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.