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Finding the Fourth Proportional to 510,015.88, 765,125.88 and 285,695.29

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Solution

The fourth proportional to 510,015.88, 765,125.88 and 285,695.29 is: 428,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,015.88 : 765,125.88 = 285,695.29 : x
  2. Step 2: Convert to fraction form
    510,015.88/765,125.88 = 285,695.29/x
  3. Step 3: Cross multiply
    510,015.88x = 765,125.88 × 285,695.29
  4. Step 4: Simplify right side
    510,015.88x = 218,592,860,173.11
  5. Step 5: Solve for x
    x = 218,592,860,173.11/510,015.88
  6. Step 6: Final answer
    x = 428,600.11

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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.