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Finding the Fourth Proportional to 406,054.30, 608,738.98 and 255,963.84

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Solution

The fourth proportional to 406,054.30, 608,738.98 and 255,963.84 is: 383,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,054.30 : 608,738.98 = 255,963.84 : x
  2. Step 2: Convert to fraction form
    406,054.30/608,738.98 = 255,963.84/x
  3. Step 3: Cross multiply
    406,054.30x = 608,738.98 × 255,963.84
  4. Step 4: Simplify right side
    406,054.30x = 155,815,166,878.48
  5. Step 5: Solve for x
    x = 155,815,166,878.48/406,054.30
  6. Step 6: Final answer
    x = 383,729.88

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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.