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Finding the Fourth Proportional to 321,907,640.70, 482,861,461.05 and 256,150,674.30

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Solution

The fourth proportional to 321,907,640.70, 482,861,461.05 and 256,150,674.30 is: 384,226,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907,640.70 : 482,861,461.05 = 256,150,674.30 : x
  2. Step 2: Convert to fraction form
    321,907,640.70/482,861,461.05 = 256,150,674.30/x
  3. Step 3: Cross multiply
    321,907,640.70x = 482,861,461.05 × 256,150,674.30
  4. Step 4: Simplify right side
    321,907,640.70x = 123,685,288,841,440,688
  5. Step 5: Solve for x
    x = 123,685,288,841,440,688/321,907,640.70
  6. Step 6: Final answer
    x = 384,226,011.45

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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.