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Finding the Fourth Proportional to 538,141.37, 742,626.23 and 296,446.55

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Solution

The fourth proportional to 538,141.37, 742,626.23 and 296,446.55 is: 409,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,141.37 : 742,626.23 = 296,446.55 : x
  2. Step 2: Convert to fraction form
    538,141.37/742,626.23 = 296,446.55/x
  3. Step 3: Cross multiply
    538,141.37x = 742,626.23 × 296,446.55
  4. Step 4: Simplify right side
    538,141.37x = 220,148,978,627.64
  5. Step 5: Solve for x
    x = 220,148,978,627.64/538,141.37
  6. Step 6: Final answer
    x = 409,091.35

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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.