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Finding the Fourth Proportional to 282,467.38, 389,710.12 and 159,943

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Solution

The fourth proportional to 282,467.38, 389,710.12 and 159,943 is: 220,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,467.38 : 389,710.12 = 159,943 : x
  2. Step 2: Convert to fraction form
    282,467.38/389,710.12 = 159,943/x
  3. Step 3: Cross multiply
    282,467.38x = 389,710.12 × 159,943
  4. Step 4: Simplify right side
    282,467.38x = 62,331,405,723.16
  5. Step 5: Solve for x
    x = 62,331,405,723.16/282,467.38
  6. Step 6: Final answer
    x = 220,667.62

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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.