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Finding the Fourth Proportional to 220,709, 304,557.36 and 123,890.69

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Solution

The fourth proportional to 220,709, 304,557.36 and 123,890.69 is: 170,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,709 : 304,557.36 = 123,890.69 : x
  2. Step 2: Convert to fraction form
    220,709/304,557.36 = 123,890.69/x
  3. Step 3: Cross multiply
    220,709x = 304,557.36 × 123,890.69
  4. Step 4: Simplify right side
    220,709x = 37,731,821,474.98
  5. Step 5: Solve for x
    x = 37,731,821,474.98/220,709
  6. Step 6: Final answer
    x = 170,957.33

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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.