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Finding the Fourth Proportional to 508,710.39, 762,485.11 and 204,910.00

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Solution

The fourth proportional to 508,710.39, 762,485.11 and 204,910.00 is: 307,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,710.39 : 762,485.11 = 204,910.00 : x
  2. Step 2: Convert to fraction form
    508,710.39/762,485.11 = 204,910.00/x
  3. Step 3: Cross multiply
    508,710.39x = 762,485.11 × 204,910.00
  4. Step 4: Simplify right side
    508,710.39x = 156,240,825,099.34
  5. Step 5: Solve for x
    x = 156,240,825,099.34/508,710.39
  6. Step 6: Final answer
    x = 307,131.19

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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.