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Finding the Fourth Proportional to 321,907,623.20, 482,861,434.80 and 256,150,656.80

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Solution

The fourth proportional to 321,907,623.20, 482,861,434.80 and 256,150,656.80 is: 384,225,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907,623.20 : 482,861,434.80 = 256,150,656.80 : x
  2. Step 2: Convert to fraction form
    321,907,623.20/482,861,434.80 = 256,150,656.80/x
  3. Step 3: Cross multiply
    321,907,623.20x = 482,861,434.80 × 256,150,656.80
  4. Step 4: Simplify right side
    321,907,623.20x = 123,685,273,667,410,384
  5. Step 5: Solve for x
    x = 123,685,273,667,410,384/321,907,623.20
  6. Step 6: Final answer
    x = 384,225,985.20

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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.