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Finding the Fourth Proportional to 499,896.46, 689,139.39 and 356,407.30

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Solution

The fourth proportional to 499,896.46, 689,139.39 and 356,407.30 is: 491,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,896.46 : 689,139.39 = 356,407.30 : x
  2. Step 2: Convert to fraction form
    499,896.46/689,139.39 = 356,407.30/x
  3. Step 3: Cross multiply
    499,896.46x = 689,139.39 × 356,407.30
  4. Step 4: Simplify right side
    499,896.46x = 245,614,309,313.55
  5. Step 5: Solve for x
    x = 245,614,309,313.55/499,896.46
  6. Step 6: Final answer
    x = 491,330.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.