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Finding the Fourth Proportional to 508,731.22, 763,078 and 205,256.62

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Solution

The fourth proportional to 508,731.22, 763,078 and 205,256.62 is: 307,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,731.22 : 763,078 = 205,256.62 : x
  2. Step 2: Convert to fraction form
    508,731.22/763,078 = 205,256.62/x
  3. Step 3: Cross multiply
    508,731.22x = 763,078 × 205,256.62
  4. Step 4: Simplify right side
    508,731.22x = 156,626,811,076.36
  5. Step 5: Solve for x
    x = 156,626,811,076.36/508,731.22
  6. Step 6: Final answer
    x = 307,877.33

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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.