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Finding the Fourth Proportional to 385,133.67, 531,474.53 and 213,047.15

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Solution

The fourth proportional to 385,133.67, 531,474.53 and 213,047.15 is: 293,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,133.67 : 531,474.53 = 213,047.15 : x
  2. Step 2: Convert to fraction form
    385,133.67/531,474.53 = 213,047.15/x
  3. Step 3: Cross multiply
    385,133.67x = 531,474.53 × 213,047.15
  4. Step 4: Simplify right side
    385,133.67x = 113,229,130,191.48
  5. Step 5: Solve for x
    x = 113,229,130,191.48/385,133.67
  6. Step 6: Final answer
    x = 293,999.56

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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.