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Finding the Fourth Proportional to 631,241, 871,138.50 and 362,969

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Solution

The fourth proportional to 631,241, 871,138.50 and 362,969 is: 500,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,241 : 871,138.50 = 362,969 : x
  2. Step 2: Convert to fraction form
    631,241/871,138.50 = 362,969/x
  3. Step 3: Cross multiply
    631,241x = 871,138.50 × 362,969
  4. Step 4: Simplify right side
    631,241x = 316,196,270,206.50
  5. Step 5: Solve for x
    x = 316,196,270,206.50/631,241
  6. Step 6: Final answer
    x = 500,912.12

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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.