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Finding the Fourth Proportional to 442,059.90, 662,532.30 and 189,041.28

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Solution

The fourth proportional to 442,059.90, 662,532.30 and 189,041.28 is: 283,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,059.90 : 662,532.30 = 189,041.28 : x
  2. Step 2: Convert to fraction form
    442,059.90/662,532.30 = 189,041.28/x
  3. Step 3: Cross multiply
    442,059.90x = 662,532.30 × 189,041.28
  4. Step 4: Simplify right side
    442,059.90x = 125,245,954,033.34
  5. Step 5: Solve for x
    x = 125,245,954,033.34/442,059.90
  6. Step 6: Final answer
    x = 283,323.49

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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.