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Finding the Fourth Proportional to 282,007.25, 389,188.51 and 154,682.84

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Solution

The fourth proportional to 282,007.25, 389,188.51 and 154,682.84 is: 213,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,007.25 : 389,188.51 = 154,682.84 : x
  2. Step 2: Convert to fraction form
    282,007.25/389,188.51 = 154,682.84/x
  3. Step 3: Cross multiply
    282,007.25x = 389,188.51 × 154,682.84
  4. Step 4: Simplify right side
    282,007.25x = 60,200,784,022.17
  5. Step 5: Solve for x
    x = 60,200,784,022.17/282,007.25
  6. Step 6: Final answer
    x = 213,472.47

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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.