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Finding the Fourth Proportional to 510,855.08, 705,035.40 and 281,435.88

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Solution

The fourth proportional to 510,855.08, 705,035.40 and 281,435.88 is: 388,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,855.08 : 705,035.40 = 281,435.88 : x
  2. Step 2: Convert to fraction form
    510,855.08/705,035.40 = 281,435.88/x
  3. Step 3: Cross multiply
    510,855.08x = 705,035.40 × 281,435.88
  4. Step 4: Simplify right side
    510,855.08x = 198,422,253,297.80
  5. Step 5: Solve for x
    x = 198,422,253,297.80/510,855.08
  6. Step 6: Final answer
    x = 388,412.02

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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.