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Finding the Fourth Proportional to 538,581.48, 743,285.28 and 296,907

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Solution

The fourth proportional to 538,581.48, 743,285.28 and 296,907 is: 409,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,581.48 : 743,285.28 = 296,907 : x
  2. Step 2: Convert to fraction form
    538,581.48/743,285.28 = 296,907/x
  3. Step 3: Cross multiply
    538,581.48x = 743,285.28 × 296,907
  4. Step 4: Simplify right side
    538,581.48x = 220,686,602,628.96
  5. Step 5: Solve for x
    x = 220,686,602,628.96/538,581.48
  6. Step 6: Final answer
    x = 409,755.28

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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.