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Finding the Fourth Proportional to 260,546.78, 390,549.20 and 100,732.47

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Solution

The fourth proportional to 260,546.78, 390,549.20 and 100,732.47 is: 150,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,546.78 : 390,549.20 = 100,732.47 : x
  2. Step 2: Convert to fraction form
    260,546.78/390,549.20 = 100,732.47/x
  3. Step 3: Cross multiply
    260,546.78x = 390,549.20 × 100,732.47
  4. Step 4: Simplify right side
    260,546.78x = 39,340,985,320.69
  5. Step 5: Solve for x
    x = 39,340,985,320.69/260,546.78
  6. Step 6: Final answer
    x = 150,993.94

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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.