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Finding the Fourth Proportional to 508,912.48, 702,321.16 and 282,558

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Solution

The fourth proportional to 508,912.48, 702,321.16 and 282,558 is: 389,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,912.48 : 702,321.16 = 282,558 : x
  2. Step 2: Convert to fraction form
    508,912.48/702,321.16 = 282,558/x
  3. Step 3: Cross multiply
    508,912.48x = 702,321.16 × 282,558
  4. Step 4: Simplify right side
    508,912.48x = 198,446,462,327.28
  5. Step 5: Solve for x
    x = 198,446,462,327.28/508,912.48
  6. Step 6: Final answer
    x = 389,942.22

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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.