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Finding the Fourth Proportional to 510,014.88, 765,124.38 and 285,694.29

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Solution

The fourth proportional to 510,014.88, 765,124.38 and 285,694.29 is: 428,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,014.88 : 765,124.38 = 285,694.29 : x
  2. Step 2: Convert to fraction form
    510,014.88/765,124.38 = 285,694.29/x
  3. Step 3: Cross multiply
    510,014.88x = 765,124.38 × 285,694.29
  4. Step 4: Simplify right side
    510,014.88x = 218,591,666,505.79
  5. Step 5: Solve for x
    x = 218,591,666,505.79/510,014.88
  6. Step 6: Final answer
    x = 428,598.61

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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.