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Finding the Fourth Proportional to 282,466.38, 389,708.75 and 159,942

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Solution

The fourth proportional to 282,466.38, 389,708.75 and 159,942 is: 220,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466.38 : 389,708.75 = 159,942 : x
  2. Step 2: Convert to fraction form
    282,466.38/389,708.75 = 159,942/x
  3. Step 3: Cross multiply
    282,466.38x = 389,708.75 × 159,942
  4. Step 4: Simplify right side
    282,466.38x = 62,330,796,092.79
  5. Step 5: Solve for x
    x = 62,330,796,092.79/282,466.38
  6. Step 6: Final answer
    x = 220,666.25

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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.