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Finding the Fourth Proportional to 290,539.36, 434,871.60 and 150,104.80

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Solution

The fourth proportional to 290,539.36, 434,871.60 and 150,104.80 is: 224,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,539.36 : 434,871.60 = 150,104.80 : x
  2. Step 2: Convert to fraction form
    290,539.36/434,871.60 = 150,104.80/x
  3. Step 3: Cross multiply
    290,539.36x = 434,871.60 × 150,104.80
  4. Step 4: Simplify right side
    290,539.36x = 65,276,314,543.68
  5. Step 5: Solve for x
    x = 65,276,314,543.68/290,539.36
  6. Step 6: Final answer
    x = 224,672.88

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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.