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Finding the Fourth Proportional to 282,884.54, 390,383.44 and 155,561

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Solution

The fourth proportional to 282,884.54, 390,383.44 and 155,561 is: 214,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,884.54 : 390,383.44 = 155,561 : x
  2. Step 2: Convert to fraction form
    282,884.54/390,383.44 = 155,561/x
  3. Step 3: Cross multiply
    282,884.54x = 390,383.44 × 155,561
  4. Step 4: Simplify right side
    282,884.54x = 60,728,438,309.84
  5. Step 5: Solve for x
    x = 60,728,438,309.84/282,884.54
  6. Step 6: Final answer
    x = 214,675.71

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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.