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Finding the Fourth Proportional to 380,171.65, 569,627.75 and 267,300.42

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Solution

The fourth proportional to 380,171.65, 569,627.75 and 267,300.42 is: 400,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,171.65 : 569,627.75 = 267,300.42 : x
  2. Step 2: Convert to fraction form
    380,171.65/569,627.75 = 267,300.42/x
  3. Step 3: Cross multiply
    380,171.65x = 569,627.75 × 267,300.42
  4. Step 4: Simplify right side
    380,171.65x = 152,261,733,970.52
  5. Step 5: Solve for x
    x = 152,261,733,970.52/380,171.65
  6. Step 6: Final answer
    x = 400,507.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.