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Finding the Fourth Proportional to 279,953.64, 420,201.14 and 264,781.40

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Solution

The fourth proportional to 279,953.64, 420,201.14 and 264,781.40 is: 397,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,953.64 : 420,201.14 = 264,781.40 : x
  2. Step 2: Convert to fraction form
    279,953.64/420,201.14 = 264,781.40/x
  3. Step 3: Cross multiply
    279,953.64x = 420,201.14 × 264,781.40
  4. Step 4: Simplify right side
    279,953.64x = 111,261,442,705.88
  5. Step 5: Solve for x
    x = 111,261,442,705.88/279,953.64
  6. Step 6: Final answer
    x = 397,428.10

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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.