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Finding the Fourth Proportional to 282,409.44, 389,727.76 and 155,087.78

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Solution

The fourth proportional to 282,409.44, 389,727.76 and 155,087.78 is: 214,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,409.44 : 389,727.76 = 155,087.78 : x
  2. Step 2: Convert to fraction form
    282,409.44/389,727.76 = 155,087.78/x
  3. Step 3: Cross multiply
    282,409.44x = 389,727.76 × 155,087.78
  4. Step 4: Simplify right side
    282,409.44x = 60,442,013,102.77
  5. Step 5: Solve for x
    x = 60,442,013,102.77/282,409.44
  6. Step 6: Final answer
    x = 214,022.64

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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.