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Finding the Fourth Proportional to 282,974.92, 390,238.42 and 186,007.48

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Solution

The fourth proportional to 282,974.92, 390,238.42 and 186,007.48 is: 256,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,974.92 : 390,238.42 = 186,007.48 : x
  2. Step 2: Convert to fraction form
    282,974.92/390,238.42 = 186,007.48/x
  3. Step 3: Cross multiply
    282,974.92x = 390,238.42 × 186,007.48
  4. Step 4: Simplify right side
    282,974.92x = 72,587,265,103.38
  5. Step 5: Solve for x
    x = 72,587,265,103.38/282,974.92
  6. Step 6: Final answer
    x = 256,514.84

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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.