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Finding the Fourth Proportional to 409,875, 565,627.50 and 231,027

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Solution

The fourth proportional to 409,875, 565,627.50 and 231,027 is: 318,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,875 : 565,627.50 = 231,027 : x
  2. Step 2: Convert to fraction form
    409,875/565,627.50 = 231,027/x
  3. Step 3: Cross multiply
    409,875x = 565,627.50 × 231,027
  4. Step 4: Simplify right side
    409,875x = 130,675,224,442.50
  5. Step 5: Solve for x
    x = 130,675,224,442.50/409,875
  6. Step 6: Final answer
    x = 318,817.26

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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.