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Finding the Fourth Proportional to 538,500.20, 743,126.82 and 296,783

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Solution

The fourth proportional to 538,500.20, 743,126.82 and 296,783 is: 409,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,500.20 : 743,126.82 = 296,783 : x
  2. Step 2: Convert to fraction form
    538,500.20/743,126.82 = 296,783/x
  3. Step 3: Cross multiply
    538,500.20x = 743,126.82 × 296,783
  4. Step 4: Simplify right side
    538,500.20x = 220,547,407,020.06
  5. Step 5: Solve for x
    x = 220,547,407,020.06/538,500.20
  6. Step 6: Final answer
    x = 409,558.64

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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.