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Finding the Fourth Proportional to 510,423.56, 765,796.25 and 240,540.80

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Solution

The fourth proportional to 510,423.56, 765,796.25 and 240,540.80 is: 360,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,423.56 : 765,796.25 = 240,540.80 : x
  2. Step 2: Convert to fraction form
    510,423.56/765,796.25 = 240,540.80/x
  3. Step 3: Cross multiply
    510,423.56x = 765,796.25 × 240,540.80
  4. Step 4: Simplify right side
    510,423.56x = 184,205,238,783.02
  5. Step 5: Solve for x
    x = 184,205,238,783.02/510,423.56
  6. Step 6: Final answer
    x = 360,887.03

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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.