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Finding the Fourth Proportional to 508,039.38, 762,080.13 and 208,308.60

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Solution

The fourth proportional to 508,039.38, 762,080.13 and 208,308.60 is: 312,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,039.38 : 762,080.13 = 208,308.60 : x
  2. Step 2: Convert to fraction form
    508,039.38/762,080.13 = 208,308.60/x
  3. Step 3: Cross multiply
    508,039.38x = 762,080.13 × 208,308.60
  4. Step 4: Simplify right side
    508,039.38x = 158,747,844,968.12
  5. Step 5: Solve for x
    x = 158,747,844,968.12/508,039.38
  6. Step 6: Final answer
    x = 312,471.54

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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.