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Finding the Fourth Proportional to 270,253, 405,445.11 and 83,264.50

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Solution

The fourth proportional to 270,253, 405,445.11 and 83,264.50 is: 124,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,253 : 405,445.11 = 83,264.50 : x
  2. Step 2: Convert to fraction form
    270,253/405,445.11 = 83,264.50/x
  3. Step 3: Cross multiply
    270,253x = 405,445.11 × 83,264.50
  4. Step 4: Simplify right side
    270,253x = 33,759,184,361.60
  5. Step 5: Solve for x
    x = 33,759,184,361.60/270,253
  6. Step 6: Final answer
    x = 124,916.96

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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.