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Finding the Fourth Proportional to 280,618.48, 421,031.40 and 103,241.44

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Solution

The fourth proportional to 280,618.48, 421,031.40 and 103,241.44 is: 154,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618.48 : 421,031.40 = 103,241.44 : x
  2. Step 2: Convert to fraction form
    280,618.48/421,031.40 = 103,241.44/x
  3. Step 3: Cross multiply
    280,618.48x = 421,031.40 × 103,241.44
  4. Step 4: Simplify right side
    280,618.48x = 43,467,888,021.22
  5. Step 5: Solve for x
    x = 43,467,888,021.22/280,618.48
  6. Step 6: Final answer
    x = 154,900.30

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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.