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Finding the Fourth Proportional to 260,388.44, 359,319.04 and 145,647.20

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Solution

The fourth proportional to 260,388.44, 359,319.04 and 145,647.20 is: 200,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,388.44 : 359,319.04 = 145,647.20 : x
  2. Step 2: Convert to fraction form
    260,388.44/359,319.04 = 145,647.20/x
  3. Step 3: Cross multiply
    260,388.44x = 359,319.04 × 145,647.20
  4. Step 4: Simplify right side
    260,388.44x = 52,333,812,082.69
  5. Step 5: Solve for x
    x = 52,333,812,082.69/260,388.44
  6. Step 6: Final answer
    x = 200,983.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.