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Finding the Fourth Proportional to 471,470.09, 650,628.75 and 256,611.71

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Solution

The fourth proportional to 471,470.09, 650,628.75 and 256,611.71 is: 354,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,470.09 : 650,628.75 = 256,611.71 : x
  2. Step 2: Convert to fraction form
    471,470.09/650,628.75 = 256,611.71/x
  3. Step 3: Cross multiply
    471,470.09x = 650,628.75 × 256,611.71
  4. Step 4: Simplify right side
    471,470.09x = 166,958,958,701.53
  5. Step 5: Solve for x
    x = 166,958,958,701.53/471,470.09
  6. Step 6: Final answer
    x = 354,124.18

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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.