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Finding the Fourth Proportional to 510,221.84, 765,504.98 and 225,873.16

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Solution

The fourth proportional to 510,221.84, 765,504.98 and 225,873.16 is: 338,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,221.84 : 765,504.98 = 225,873.16 : x
  2. Step 2: Convert to fraction form
    510,221.84/765,504.98 = 225,873.16/x
  3. Step 3: Cross multiply
    510,221.84x = 765,504.98 × 225,873.16
  4. Step 4: Simplify right side
    510,221.84x = 172,907,029,393.02
  5. Step 5: Solve for x
    x = 172,907,029,393.02/510,221.84
  6. Step 6: Final answer
    x = 338,885.98

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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.