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Finding the Fourth Proportional to 510,695.65, 765,046.92 and 397,847.50

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Solution

The fourth proportional to 510,695.65, 765,046.92 and 397,847.50 is: 595,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,695.65 : 765,046.92 = 397,847.50 : x
  2. Step 2: Convert to fraction form
    510,695.65/765,046.92 = 397,847.50/x
  3. Step 3: Cross multiply
    510,695.65x = 765,046.92 × 397,847.50
  4. Step 4: Simplify right side
    510,695.65x = 304,372,004,084.01
  5. Step 5: Solve for x
    x = 304,372,004,084.01/510,695.65
  6. Step 6: Final answer
    x = 595,994.90

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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.