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Finding the Fourth Proportional to 510,729.09, 765,561.45 and 285,759.69

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Solution

The fourth proportional to 510,729.09, 765,561.45 and 285,759.69 is: 428,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,729.09 : 765,561.45 = 285,759.69 : x
  2. Step 2: Convert to fraction form
    510,729.09/765,561.45 = 285,759.69/x
  3. Step 3: Cross multiply
    510,729.09x = 765,561.45 × 285,759.69
  4. Step 4: Simplify right side
    510,729.09x = 218,766,602,627.95
  5. Step 5: Solve for x
    x = 218,766,602,627.95/510,729.09
  6. Step 6: Final answer
    x = 428,341.77

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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.