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Finding the Fourth Proportional to 270,496.80, 405,802.80 and 83,527.20

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Solution

The fourth proportional to 270,496.80, 405,802.80 and 83,527.20 is: 125,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496.80 : 405,802.80 = 83,527.20 : x
  2. Step 2: Convert to fraction form
    270,496.80/405,802.80 = 83,527.20/x
  3. Step 3: Cross multiply
    270,496.80x = 405,802.80 × 83,527.20
  4. Step 4: Simplify right side
    270,496.80x = 33,895,571,636.16
  5. Step 5: Solve for x
    x = 33,895,571,636.16/270,496.80
  6. Step 6: Final answer
    x = 125,308.59

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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.