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Finding the Fourth Proportional to 526,513.85, 726,589.21 and 284,796.35

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Solution

The fourth proportional to 526,513.85, 726,589.21 and 284,796.35 is: 393,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,513.85 : 726,589.21 = 284,796.35 : x
  2. Step 2: Convert to fraction form
    526,513.85/726,589.21 = 284,796.35/x
  3. Step 3: Cross multiply
    526,513.85x = 726,589.21 × 284,796.35
  4. Step 4: Simplify right side
    526,513.85x = 206,929,956,061.87
  5. Step 5: Solve for x
    x = 206,929,956,061.87/526,513.85
  6. Step 6: Final answer
    x = 393,019.02

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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.