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Finding the Fourth Proportional to 509,640.68, 703,305.54 and 280,221.42

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Solution

The fourth proportional to 509,640.68, 703,305.54 and 280,221.42 is: 386,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,640.68 : 703,305.54 = 280,221.42 : x
  2. Step 2: Convert to fraction form
    509,640.68/703,305.54 = 280,221.42/x
  3. Step 3: Cross multiply
    509,640.68x = 703,305.54 × 280,221.42
  4. Step 4: Simplify right side
    509,640.68x = 197,081,277,112.67
  5. Step 5: Solve for x
    x = 197,081,277,112.67/509,640.68
  6. Step 6: Final answer
    x = 386,706.33

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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.