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Finding the Fourth Proportional to 510,897.16, 764,975.26 and 285,616

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Solution

The fourth proportional to 510,897.16, 764,975.26 and 285,616 is: 427,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,897.16 : 764,975.26 = 285,616 : x
  2. Step 2: Convert to fraction form
    510,897.16/764,975.26 = 285,616/x
  3. Step 3: Cross multiply
    510,897.16x = 764,975.26 × 285,616
  4. Step 4: Simplify right side
    510,897.16x = 218,489,173,860.16
  5. Step 5: Solve for x
    x = 218,489,173,860.16/510,897.16
  6. Step 6: Final answer
    x = 427,657.84

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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.