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Finding the Fourth Proportional to 256,237,687.80, 384,356,531.70 and 159,491,806.20

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Solution

The fourth proportional to 256,237,687.80, 384,356,531.70 and 159,491,806.20 is: 239,237,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,237,687.80 : 384,356,531.70 = 159,491,806.20 : x
  2. Step 2: Convert to fraction form
    256,237,687.80/384,356,531.70 = 159,491,806.20/x
  3. Step 3: Cross multiply
    256,237,687.80x = 384,356,531.70 × 159,491,806.20
  4. Step 4: Simplify right side
    256,237,687.80x = 61,301,717,465,600,552
  5. Step 5: Solve for x
    x = 61,301,717,465,600,552/256,237,687.80
  6. Step 6: Final answer
    x = 239,237,709.30

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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.