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Finding the Fourth Proportional to 280,729.69, 420,696.47 and 217,254.33

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Solution

The fourth proportional to 280,729.69, 420,696.47 and 217,254.33 is: 325,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,729.69 : 420,696.47 = 217,254.33 : x
  2. Step 2: Convert to fraction form
    280,729.69/420,696.47 = 217,254.33/x
  3. Step 3: Cross multiply
    280,729.69x = 420,696.47 × 217,254.33
  4. Step 4: Simplify right side
    280,729.69x = 91,398,129,451.65
  5. Step 5: Solve for x
    x = 91,398,129,451.65/280,729.69
  6. Step 6: Final answer
    x = 325,573.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.