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Finding the Fourth Proportional to 413,921.60, 620,882.40 and 280,865.60

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Solution

The fourth proportional to 413,921.60, 620,882.40 and 280,865.60 is: 421,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,921.60 : 620,882.40 = 280,865.60 : x
  2. Step 2: Convert to fraction form
    413,921.60/620,882.40 = 280,865.60/x
  3. Step 3: Cross multiply
    413,921.60x = 620,882.40 × 280,865.60
  4. Step 4: Simplify right side
    413,921.60x = 174,384,507,805.44
  5. Step 5: Solve for x
    x = 174,384,507,805.44/413,921.60
  6. Step 6: Final answer
    x = 421,298.40

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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.