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Finding the Fourth Proportional to 270,282.40, 405,287.60 and 83,269.60

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Solution

The fourth proportional to 270,282.40, 405,287.60 and 83,269.60 is: 124,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,282.40 : 405,287.60 = 83,269.60 : x
  2. Step 2: Convert to fraction form
    270,282.40/405,287.60 = 83,269.60/x
  3. Step 3: Cross multiply
    270,282.40x = 405,287.60 × 83,269.60
  4. Step 4: Simplify right side
    270,282.40x = 33,748,136,336.96
  5. Step 5: Solve for x
    x = 33,748,136,336.96/270,282.40
  6. Step 6: Final answer
    x = 124,862.50

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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.