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Finding the Fourth Proportional to 220,802.40, 331,300.80 and 102,412.80

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Solution

The fourth proportional to 220,802.40, 331,300.80 and 102,412.80 is: 153,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,802.40 : 331,300.80 = 102,412.80 : x
  2. Step 2: Convert to fraction form
    220,802.40/331,300.80 = 102,412.80/x
  3. Step 3: Cross multiply
    220,802.40x = 331,300.80 × 102,412.80
  4. Step 4: Simplify right side
    220,802.40x = 33,929,442,570.24
  5. Step 5: Solve for x
    x = 33,929,442,570.24/220,802.40
  6. Step 6: Final answer
    x = 153,664.28

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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.