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Finding the Fourth Proportional to 654,643.22, 980,136.38 and 354,046.82

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Solution

The fourth proportional to 654,643.22, 980,136.38 and 354,046.82 is: 530,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,643.22 : 980,136.38 = 354,046.82 : x
  2. Step 2: Convert to fraction form
    654,643.22/980,136.38 = 354,046.82/x
  3. Step 3: Cross multiply
    654,643.22x = 980,136.38 × 354,046.82
  4. Step 4: Simplify right side
    654,643.22x = 347,014,164,489.75
  5. Step 5: Solve for x
    x = 347,014,164,489.75/654,643.22
  6. Step 6: Final answer
    x = 530,081.36

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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.