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Finding the Fourth Proportional to 508,958.56, 763,321.16 and 228,556

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Solution

The fourth proportional to 508,958.56, 763,321.16 and 228,556 is: 342,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,958.56 : 763,321.16 = 228,556 : x
  2. Step 2: Convert to fraction form
    508,958.56/763,321.16 = 228,556/x
  3. Step 3: Cross multiply
    508,958.56x = 763,321.16 × 228,556
  4. Step 4: Simplify right side
    508,958.56x = 174,461,631,044.96
  5. Step 5: Solve for x
    x = 174,461,631,044.96/508,958.56
  6. Step 6: Final answer
    x = 342,781.60

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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.