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Finding the Fourth Proportional to 282,540.32, 389,912.76 and 155,227.76

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Solution

The fourth proportional to 282,540.32, 389,912.76 and 155,227.76 is: 214,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,540.32 : 389,912.76 = 155,227.76 : x
  2. Step 2: Convert to fraction form
    282,540.32/389,912.76 = 155,227.76/x
  3. Step 3: Cross multiply
    282,540.32x = 389,912.76 × 155,227.76
  4. Step 4: Simplify right side
    282,540.32x = 60,525,284,330.22
  5. Step 5: Solve for x
    x = 60,525,284,330.22/282,540.32
  6. Step 6: Final answer
    x = 214,218.22

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1.5x scale

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.