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Finding the Fourth Proportional to 510,216.21, 765,293.33 and 190,306.41

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Solution

The fourth proportional to 510,216.21, 765,293.33 and 190,306.41 is: 285,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,216.21 : 765,293.33 = 190,306.41 : x
  2. Step 2: Convert to fraction form
    510,216.21/765,293.33 = 190,306.41/x
  3. Step 3: Cross multiply
    510,216.21x = 765,293.33 × 190,306.41
  4. Step 4: Simplify right side
    510,216.21x = 145,640,226,705.01
  5. Step 5: Solve for x
    x = 145,640,226,705.01/510,216.21
  6. Step 6: Final answer
    x = 285,448.06

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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.