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Finding the Fourth Proportional to 508,796.96, 702,112.39 and 282,427.88

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Solution

The fourth proportional to 508,796.96, 702,112.39 and 282,427.88 is: 389,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,796.96 : 702,112.39 = 282,427.88 : x
  2. Step 2: Convert to fraction form
    508,796.96/702,112.39 = 282,427.88/x
  3. Step 3: Cross multiply
    508,796.96x = 702,112.39 × 282,427.88
  4. Step 4: Simplify right side
    508,796.96x = 198,296,109,612.80
  5. Step 5: Solve for x
    x = 198,296,109,612.80/508,796.96
  6. Step 6: Final answer
    x = 389,735.25

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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.