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Finding the Fourth Proportional to 538,585.62, 743,239.16 and 296,890.62

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Solution

The fourth proportional to 538,585.62, 743,239.16 and 296,890.62 is: 409,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,585.62 : 743,239.16 = 296,890.62 : x
  2. Step 2: Convert to fraction form
    538,585.62/743,239.16 = 296,890.62/x
  3. Step 3: Cross multiply
    538,585.62x = 743,239.16 × 296,890.62
  4. Step 4: Simplify right side
    538,585.62x = 220,660,735,020.68
  5. Step 5: Solve for x
    x = 220,660,735,020.68/538,585.62
  6. Step 6: Final answer
    x = 409,704.10

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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.